Quantum physics Books

Book SynopsisForces of the Quantum Vacuum presents a number of theoretical approaches to Casimir, van der Waals and Casimir-Polder forces that have been fruitfully employed in mainstream research, and also reviews the experimental evidence for Casimir forces. Beginning with basic ideas in quantum mechanics and building its way to a sophisticated form of macroscopic QED, the book provides an inspiring training manual for graduate students to develop in a natural progression the ideas needed for modern theoretical research on Casimir forces.Table of ContentsNormal-Mode QED: The Quantum Vacuum and Its Consequences; Van der Waals and Casimir-Polder Dispersion Forces; The Casimir Stress in Real Materials; The Casimir Stress in Real Materials; Macroscopic QED and Vacuum Forces; Measuring Casimir Phenomena; Casimir Forces at the Cutting Edge; Regularisation Techniques;

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Book SynopsisForces of the Quantum Vacuum presents a number of theoretical approaches to Casimir, van der Waals and Casimir-Polder forces that have been fruitfully employed in mainstream research, and also reviews the experimental evidence for Casimir forces. Beginning with basic ideas in quantum mechanics and building its way to a sophisticated form of macroscopic QED, the book provides an inspiring training manual for graduate students to develop in a natural progression the ideas needed for modern theoretical research on Casimir forces.Table of ContentsNormal-Mode QED: The Quantum Vacuum and Its Consequences; Van der Waals and Casimir-Polder Dispersion Forces; The Casimir Stress in Real Materials; The Casimir Stress in Real Materials; Macroscopic QED and Vacuum Forces; Measuring Casimir Phenomena; Casimir Forces at the Cutting Edge; Regularisation Techniques;

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Book SynopsisThis book attempts to explain the core of physics, the origin of everything and anything. It explains why physics at the most fundamental level, and especially quantum mechanics, has moved away from naïve realism towards abstraction, and how this means that we can begin to answer some of the most fundamental questions which trouble us all, about space, time, matter, etc. It provides an original approach based on symmetry which will be of interest to professionals as well as lay people.In the book, virtually no prior knowledge is assumed, but the readers are allowed to participate in a discussion of very deep ideas. Throughout the book, the readers are guided through some important ideas which need to be explained mathematically. The key fact is that the mathematics is not about calculation but about concepts. Much of it can be simplified using coloured text and diagrams. This means that ideas which are important to everyone who wants to know how the universe is structured are not glossed over as being too difficult for anybody but the experts.This book is written for a wide audience. Experts will gain a great deal, but so will lay readers. This would be an ideal book for students to read before progressing to another book by the author, The Foundations of Physical Law.Table of ContentsIntroduction; Relativity; Quantum Mechanics; Simplicity and Abstraction; Symmetry and Duality; The Fundamental Group Structure; The Origin of Quantum Mechanics; Particles and Interactions; Space and Antispace; Conclusion;

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Book SynopsisThe topics of this book are the mathematical foundations of non-relativistic quantum mechanics and the mathematical theory they require. The main characteristic of the book is that the mathematics is developed assuming familiarity with elementary analysis only. Moreover, all the proofs are carried out in detail. These features make the book easily accessible to readers with only the mathematical training offered by undergraduate education in mathematics or in physics, and also ideal for individual study. The principles of quantum mechanics are discussed with complete mathematical accuracy and an effort is made to always trace them back to the experimental reality that lies at their root. The treatment of quantum mechanics is axiomatic, with definitions followed by propositions proved in a mathematical fashion. No previous knowledge of quantum mechanics is required. This book is designed so that parts of it can be easily used for various courses in mathematics and mathematical physics, as suggested in the Preface.The book is of interest to researchers and graduate students in functional analysis, who can see how closely an important part of their chosen field is linked with quantum mechanics, and also to physicists, who can see how the abstract language of functional analysis brings unity to the apparently distinct approaches employed in quantum theory.

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Book SynopsisThis book attempts to explain the core of physics, the origin of everything and anything. It explains why physics at the most fundamental level, and especially quantum mechanics, has moved away from naïve realism towards abstraction, and how this means that we can begin to answer some of the most fundamental questions which trouble us all, about space, time, matter, etc. It provides an original approach based on symmetry which will be of interest to professionals as well as lay people.In the book, virtually no prior knowledge is assumed, but the readers are allowed to participate in a discussion of very deep ideas. Throughout the book, the readers are guided through some important ideas which need to be explained mathematically. The key fact is that the mathematics is not about calculation but about concepts. Much of it can be simplified using coloured text and diagrams. This means that ideas which are important to everyone who wants to know how the universe is structured are not glossed over as being too difficult for anybody but the experts.This book is written for a wide audience. Experts will gain a great deal, but so will lay readers. This would be an ideal book for students to read before progressing to another book by the author, The Foundations of Physical Law.Table of ContentsIntroduction; Relativity; Quantum Mechanics; Simplicity and Abstraction; Symmetry and Duality; The Fundamental Group Structure; The Origin of Quantum Mechanics; Particles and Interactions; Space and Antispace; Conclusion;

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Book SynopsisThis pioneering book addresses the question: Are the standard procedures of canonical quantization fully satisfactory, or is there more to learn about assigning a proper quantum system to a given classical system? As shown in this book, the answer to this question is: The standard procedures of canonical quantization are not the whole story!This book offers alternative quantization procedures that complete the story of quantization. The initial chapters are designed to present the new procedures in a clear and simple manner for general readers. As is necessary, systems that exhibit acceptable results with conventional quantization lead to the same results when the new procedures are used for them. However, later chapters examine selected models that lead to unacceptable results when quantized conventionally. Fortunately, these same models lead to acceptable results when the new quantization procedures are used.Table of ContentsSelected Topics in Classical Mechanics, Selected Topics in Quantum Mechanics; Essentials of Enhanced Quantization; Enhanced Affine Quantization and the Initial Cosmological Singularity; Examples of Enhanced Quantization: Bosons, Fermions, and Anyons; Enhanced Quantization of Rotationally Invariant Models; Enhanced Quantization of Ultralocal Models; Enhanced Quantization of Covariant Scalar Field Models; Enhanced Quantization of Gravity;

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Book SynopsisThis unique volume presents an original approach to physical acoustics with additional emphasis on the most useful surface acoustic waves on solids. The study is based on foundational work of Léon Brillouin, and application of the celebrated invariance theorem of Emmy Noether to an element of volume that is representative of the wave motion.This approach provides an easy interpretation of typical wave motions of physical acoustics in bulk, at surfaces, and across interfaces, in the form of the motion of associated quasi-particles. This type of motion, Newtonian or not, depends on the wave motion considered, and on the original modeling of the continuum that supports it. After a thoughtful review of Brillouin's fundamental ideas related to radiative stresses, wave momentum and action, and the necessary reminder on modern nonlinear continuum thermomechanics, invariance theory and techniques of asymptotics, a variety of situations and models illustrates the power and richness of the approach and its strong potential in applications. Elasticity, piezoelectricity and new models of continua with nonlinearity, viscosity and some generalized features (microstructure, weak or strong nonlocality) or unusual situations (bounding surface with energy, elastic thin film glued on a surface waveguide), are considered, exhibiting thus the versatility of the approach.This original book offers an innovative vision and treatment of the problems of wave propagation in deformable solids. It opens up new horizons in the theoretical and applied facets of physical acoustics.Table of ContentsWave Momentum and Radiative Stresses; Continuum Mechanics; Pseudomomentum and Eshelby Stress; Action, Phonons and Wave Mechanics; Transmission-Reflection Problems; Dynamic Materials; Elastic Surface Waves in Terms of Quasi-Particles; Electroelastic Waves in Terms of Quasi-Particles; Generalized Elastic Materials; Examples of Solitonic Systems;

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Book SynopsisProceedings of the 51st Course of the International School of Subnuclear Physics on 'Reflections on the next step for LHC', Erice, 24 June - 3 July 2013.Table of ContentsHot Theoretical Topics: Mass Hierarchy and Physics Beyond the Standard Model (I Antoniadis); Status of the Perturbative Approach to Supergravity (Z Bern); The Pedagogic Higgs - or Somebody's - Boson (F Close); Magic Supergravity from Squaring Yang Mills (M J Duff); Electric-Magnetic Duality and Supersymmetry (S Ferrara); Composite Weak Bosons at the LHC (H Fritzsch); Gauge Forces: From QCD to Quantum Gravity (L N Lipatov); Embedding Oscillatory Modes of Quarks for Baryons in QCD (P Minkowsky); Inflation and Quantum Origin of Structure in the Universe (V Mukhanov); No-Scale Supergravity in the Light of LHC and Planck (D V Nanopoulos); New Symmetries of N=4 Supersymmetric Gauge Theories (E Sokatchev); Three Erice Lectures (G 't Hooft); Hot Experimental Topics: Highlights from ATLAS - ALICE - CMS (S Bertolucci); Status of the Gran Sasso Laboratory (F Ferroni); Highlights from ALICE (P Giubellino); Planck Highlights (A Riazuelo); Latest Results from BNL and RHIC (M J Tannenbaum); Seminars On Specialized Topics: Status of the Three Neutrinos (A Bettini); What is the Ontological Status of the Higgs Particle? (T Y Cao); Roadmap at the LHC to the Higgs Boson and Beyond (P Jenni); New Spectroscopy with Charm and Beauty Multiquarks States (L Majani); Present Status of the EMC effect (K Rith); Reflections on the next Step for LHC (H Wenninger); The Problem of (CPT) Invariance in Experimental Physics and the Time of Flight (TOF) World Record (A Zichichi); Advances in Fast Timing up to 16 ps (K Doroud, M C S Williams, A Zichichi);

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Book SynopsisThis volume presents the latest advancements and future developments of atomic, molecular and optical (AMO) physics and its vital role in modern sciences and technologies. The chapters are devoted to studies of a wide range of quantum systems, with an emphasis on understanding of quantum coherence and other quantum phenomena originated from light-matter interactions. The book intends to survey the current research landscape and to highlight major scientific trends in AMO physics as well as those interfacing with interdisciplinary sciences. The volume may be particularly useful for young researchers working on establishing their scientific interests and goals.Table of ContentsCollective Phenomena and Long-range Interactions in Ultracold Atoms and Molecules: Quantum Magnetism with Ultracold Molecules (M L Wall, K R A Hazzard and A M Rey); Optical Manipulation of Light Scattering in Cold Atomic Rubidium (R G Olave, A L Win, K Kemp, S J Roof, S Balik, M D Havey, I M Sokolov and D V Kupriyanov); Seeing Spin Dynamics in Atomic Gases (D M Stamper-Kurn); Atom-like Coherent Solid State Systems: Precision Magnetic Sensing and Imaging Using NV-Diamond (R L Walsworth); Entanglement and Quantum Optics with Quantum Dots (A P Burgers, J R Schaibley and D G Steel); Coherent Nanophotonics and Plasmonics: Enhancement of Single-Photon Sources with Metamaterials (M Y Shalaginov, S Bogdanov, V V Vorobyov, A Lagutchev, A V Kildishev, A V Akimov, A Boltasseva and V M Shalaev); Linear Optical Properties of Periodic Hybrid Materials at Oblique Incidence: A Numerical Approach (A Blake and M Sukharev); Fundamental Physics: An Introduction to Boson-Sampling (B T Gard, K R Motes, J P Olson, P P Rohde and J P Dowling); New approach to quantum amplification by superradiant emission of radiation (G Shchedrin, Y Rostovtsev, X Zhang and M O Scully); Ultrafast Dynamics in Strong Laser Fields: Circularly Polarized Attosecond Pulses and Molecular Atto-Magnetism (A D Bandrauk and K-J Yuan); Many-Electron Response of Gas-Phase Fullerene Materials to UV and Soft X-ray Photons (H S Chakraborty and M Magrakvelidze); Ultracold Chemistry: Collisions and Reactions in Ultracold Gases (N Balakrishnan and J Hazra);

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Book SynopsisQuantum-state estimation is an important field in quantum information theory that deals with the characterization of states of affairs for quantum sources. This book begins with background formalism in estimation theory to establish the necessary prerequisites. This basic understanding allows us to explore popular likelihood- and entropy-related estimation schemes that are suitable for an introductory survey on the subject. Discussions on practical aspects of quantum-state estimation ensue, with emphasis on the evaluation of tomographic performances for estimation schemes, experimental realizations of quantum measurements and detection of single-mode multi-photon sources. Finally, the concepts of phase-space distribution functions, which compatibly describe these multi-photon sources, are introduced to bridge the gap between discrete and continuous quantum degrees of freedom.This book is intended to serve as an instructive and self-contained medium for advanced undergraduate and postgraduate students to grasp the basics of quantum-state estimation. Any reader with a solid foundation in quantum mechanics, linear algebra and calculus would be able to follow the book comfortably.Table of ContentsPreface; Acronyms; Symbols and Notations; Preliminaries of Quantum-State Estimation; Informationally Complete Estimation; Informationally Incomplete Estimation; Practical Aspects of State Estimation; Quasi-Probability Distributions;

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Book SynopsisQuantum-state estimation is an important field in quantum information theory that deals with the characterization of states of affairs for quantum sources. This book begins with background formalism in estimation theory to establish the necessary prerequisites. This basic understanding allows us to explore popular likelihood- and entropy-related estimation schemes that are suitable for an introductory survey on the subject. Discussions on practical aspects of quantum-state estimation ensue, with emphasis on the evaluation of tomographic performances for estimation schemes, experimental realizations of quantum measurements and detection of single-mode multi-photon sources. Finally, the concepts of phase-space distribution functions, which compatibly describe these multi-photon sources, are introduced to bridge the gap between discrete and continuous quantum degrees of freedom.This book is intended to serve as an instructive and self-contained medium for advanced undergraduate and postgraduate students to grasp the basics of quantum-state estimation. Any reader with a solid foundation in quantum mechanics, linear algebra and calculus would be able to follow the book comfortably.Table of ContentsPreface; Acronyms; Symbols and Notations; Preliminaries of Quantum-State Estimation; Informationally Complete Estimation; Informationally Incomplete Estimation; Practical Aspects of State Estimation; Quasi-Probability Distributions;

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Book SynopsisQuantum mechanics was developed during the first few decades of the twentieth century via a series of inspired guesses made by various physicists, including Planck, Einstein, Bohr, Schroedinger, Heisenberg, Pauli, and Dirac. All these scientists were trying to construct a self-consistent theory of microscopic dynamics that was compatible with experimental observations.The purpose of this book is to present quantum mechanics in a clear, concise, and systematic fashion, starting from the fundamental postulates, and developing the theory in as logical a manner as possible. Topics covered in the book include the fundamental postulates of quantum mechanics, angular momentum, time-independent and time-dependent perturbation theory, scattering theory, identical particles, and relativistic electron theory.

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Book SynopsisQuantum mechanics was developed during the first few decades of the twentieth century via a series of inspired guesses made by various physicists, including Planck, Einstein, Bohr, Schroedinger, Heisenberg, Pauli, and Dirac. All these scientists were trying to construct a self-consistent theory of microscopic dynamics that was compatible with experimental observations.The purpose of this book is to present quantum mechanics in a clear, concise, and systematic fashion, starting from the fundamental postulates, and developing the theory in as logical a manner as possible. Topics covered in the book include the fundamental postulates of quantum mechanics, angular momentum, time-independent and time-dependent perturbation theory, scattering theory, identical particles, and relativistic electron theory.

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Book SynopsisIn 1861, James Clerk-Maxwell published Part II of his four-part series 'On physical lines of force'. In it, he attempted to construct a vortex model of the magnetic field but after much effort neither he, nor other late nineteenth century physicists who followed him, managed to produce a workable theory. What survived from these attempts were Maxwell's four equations of electrodynamics together with the Lorentz force law, formulae that made no attempt to describe an underlying reality but stood only as a mathematical description of the observed phenomena. When the quantum of action was introduced by Planck in 1900 the difficulties that had faced Maxwell's generation were still unresolved. Since then theories of increasing mathematical complexity have been constructed to attempt to bring the totality of phenomena into order with little success. This work examines the problems that had been abandoned long before quantum mechanics was formulated in 1925 and argues that these issues need to be revisited before real progress in the quantum theory of the electromagnetic field can be made.Table of ContentsGalileo-Newton Mechanics; Electromagnetism; Theory of Blackbody Radiation; Wave-Particle Duality; Atomic Spectra; Theory of Hydrogen Atom; Wave Mechanics; Matrix Mechanics; Dirac Spinor Theory;

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Book SynopsisOur understanding of the physical world was revolutionized in the twentieth century — the era of 'modern physics'. Three texts presenting the foundations and frontiers of modern physics have been published by the second author. Many problems are included in these books. The current authors have published solutions manuals for two of the texts Introduction to Modern Physics: Theoretical Foundations and Topics in Modern Physics: Theoretical Foundations.The present book provides solutions to the over 180 problems in the remaining text Advanced Modern Physics: Theoretical Foundations. This is the most challenging material, ranging over advanced quantum mechanics, angular momentum, scattering theory, lagrangian field theory, symmetries, Feynman rules, quantum electrodynamics (QED), higher-order processes, path-integrals, and canonical transformations for quantum systems; several appendices supply important details.This solutions manual completes the modern physics series, whose goal is to provide a path through the principal areas of theoretical physics of the twentieth century in sufficient detail so that students can obtain an understanding and an elementary working knowledge of the field. While obtaining familiarity with what has gone before would seem to be a daunting task, these volumes should help the dedicated student to find that job less challenging, and even enjoyable.

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Book SynopsisThis invaluable book provides a broad and comprehensive introduction to the fascinating and beautiful subject of timeless approaches in physics, focusing the attention in particular on significant models developed recently by the author. It presents relevant and novel perspectives in 21st century theoretical physics as regards the arena of physical processes and its geometry (both in special relativity, quantum mechanics, the quantum gravity domain and about the quantum vacuum). The timeless approach may be used as a source of reference by researchers in theoretical physics and at the same time it is also suitable for graduate students in physics who wish to have an extend view of some of the classic and fundamental models in the subject.

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Book SynopsisUnified Field Mechanics, the topic of the 9th international symposium honoring noted French mathematical physicist Jean-Pierre Vigier cannot be considered highly speculative as a myopic critic might surmise. The 8th Vigier Symposium proceedings 'The Physics of Reality' should in fact be touted as a companion volume because of its dramatic theoretical Field Mechanics in additional dimensionality. Many still consider the Planck-scale zero-point field stochastic quantum foam as the 'basement of reality'. This could only be considered true under the limitations of the Copenhagen interpretation of quantum theory. As we enter the next regime of Unified Field Mechanics we now know that the energy-dependent Einstein-Minkowski manifold called spacetime has a finite radius beyond which a large-scale multiverse beckons. So far a battery of 14 experiments has been designed to falsify the model. When the 1st is successfully performed, a revolution in Natural Science will occur! This volume strengthens and expands the theoretical and experimental basis for that immanent new age.Table of ContentsFoundational Physics; Special and General Relativity; Aspects of Unified Theories; Quantum Mechanics and Statistical Mechanics; Astrophysics and Cosmology; Biophysics and Consciousness;

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Book SynopsisWe extend to gravitation our previous study of a quantum wave for all particles and antiparticles of each generation (electron + neutrino + u and d quarks for instance). This wave equation is form invariant under Cl3*, then relativistic invariant. It is gauge invariant under the gauge group of the standard model, with a mass term: this was impossible before, and the consequence was an impossibility to link gauge interactions and gravitation.Table of ContentsForeword; Introduction; Clifford Algebras; Dirac Equation; The Homogeneous Nonlinear Wave Equation; Invariance of Electromagnetic Laws; Miscellaneous; Electro-Weak Interactions: The Lepton Case; Electro-Weak and Strong Interactions; Magnetic Monopoles; Inertia and Gravitation; Conclusion; Appendix A: Calculations in Clifford Algebras; Appendix B: Electron+Neutrino+Quark; Appendix C: The Hydrogen Atom; Bibliography; Index;

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Book SynopsisBased on lectures held at the 8th edition of the series of summer schools in Villa de Leyva since 1999, this book presents an introduction to topics of current interest at the interface of geometry, algebra, analysis, topology and theoretical physics. It is aimed at graduate students and researchers in physics or mathematics, and offers an introduction to the topics discussed in the two weeks of the summer school: operator algebras, conformal field theory, black holes, relativistic fluids, Lie groupoids and Lie algebroids, renormalization methods, spectral geometry and index theory for pseudo-differential operators.

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Book SynopsisThis book is meant as an introduction to graphene plasmonics and aims at the advanced undergraduate and graduate students entering the field of plasmonics in graphene. In it different theoretical methods are introduced, starting with an elementary description of graphene plasmonics and evolving towards more advanced topics. This book is essentially self-contained and brings together a number of different topics about the field that are scattered in the vast literature. The text is composed of eleven chapters and of a set of detailed appendices. It can be read in two different ways: Reading only the chapters to get acquainted with the field of plasmonics in graphene or reading the chapters and studying the appendices to get a working knowledge of the topic. The study of the material in this book will bring the students to the forefront of the research in this field.Table of ContentsIntroduction; Electromagnetic Properties of Solids in a Nutshell; Surface Plasmon-Polaritons at Dielectric-Metal Interfaces; Graphene Surface Plasmons; Excitation of Graphene Surface Plasmons; Launching Plasmons Using a Metallic Antenna; Plasmonics in a Periodic Array of Graphene-Based Microribbons; Plasmons in Graphene Nanostructures and in One-dimensional Defects; Excitation of Surface Plasmon-Polaritons Using Dielectric Gratings; Excitation of Plasmons by an Emitting Dipole; Concluding Remarks; Appendices;

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Book SynopsisThis book is meant as an introduction to graphene plasmonics and aims at the advanced undergraduate and graduate students entering the field of plasmonics in graphene. In it different theoretical methods are introduced, starting with an elementary description of graphene plasmonics and evolving towards more advanced topics. This book is essentially self-contained and brings together a number of different topics about the field that are scattered in the vast literature. The text is composed of eleven chapters and of a set of detailed appendices. It can be read in two different ways: Reading only the chapters to get acquainted with the field of plasmonics in graphene or reading the chapters and studying the appendices to get a working knowledge of the topic. The study of the material in this book will bring the students to the forefront of the research in this field.Table of ContentsIntroduction; Electromagnetic Properties of Solids in a Nutshell; Surface Plasmon-Polaritons at Dielectric-Metal Interfaces; Graphene Surface Plasmons; Excitation of Graphene Surface Plasmons; Launching Plasmons Using a Metallic Antenna; Plasmonics in a Periodic Array of Graphene-Based Microribbons; Plasmons in Graphene Nanostructures and in One-dimensional Defects; Excitation of Surface Plasmon-Polaritons Using Dielectric Gratings; Excitation of Plasmons by an Emitting Dipole; Concluding Remarks; Appendices;

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Book SynopsisSince the publication of the first edition of Spin-Wave Confinement, the magnetic community’s interest in dynamic excitations in magnetic systems of reduced dimensions has been increasing. Although the concept of spin waves and their quanta (magnons) as propagating excitation of magnetic media was introduced more than 80 years ago, this field has been repeatedly bringing us fascinating new physical phenomena. The successful development of magnonics as an emerging subfield of spintronics, which considers confined spin waves as a basis for smaller, faster, more robust, and more power-efficient electronic devices, inevitably demands reduction in the sizes and dimensions of the magnetic systems being studied.The unique features of magnons, including the possibility of carrying spin information over relatively long distances, the possibility of achieving submicrometer wavelength at microwave frequencies, and controllability by electronic signal via magnetic fields, make magnonic devices distinctively suited for implementation of novel integrated electronic schemes characterized by high speed, low power consumption, and extended functionalities. Edited by S. O. Demokritov, a prominent magnonics researcher who has successfully collected the results of cutting-edge research by almost all main players in the field, this book is for everyone involved in nanotechnology, spintronics, magnonics, and nanomagnetism.Table of ContentsGraded magnonic index and spin-wave Fano resonances. Coupled spin waves in magnonic waveguides. Tuning of the spin-wave bands in nanostructures. Magnetization dynamics of Reconfigurable 2D magnonic crystals. Spin-wave optics in patterned garnet. Spin waves in circular and linear chains. Magnonic grating coupler effect. Spin waves on spin structures: topology, localization, and nonreciprocity. Steering of confined spin waves by local magnetic fields and domain walls. Current-induced spin-wave Doppler shift. Control of propagating spin waves by spin currents. Propagating spin waves in nano-contact spin torque oscillators. Parametric excitation and amplification of propagating spin waves by voltage-controlled magnetic anisotropy.

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Book SynopsisThe impact of quantum mechanics on our day-to-day life is growing at an exponential rate, of which most people are unaware. For example, the toaster is a prime example of a quantum mechanical device. While quantum mechanics arose as a subject in physics, quantum mechanical thinking has had, and continues to have, a broad impact on mathematics. For example, operator theory as we know it today would not exist without von Neumann's effort to put quantum mechanics on a solid mathematical foundation. This book is defined for undergraduate students of mathematics to obtain an introduction to quantum mechanical ideas, and the associated mathematics, without requiring an extensive background in physics.This book is focused around the following topics. 1) The Mathematical Structure of Quantum Mechanics. We develop the main mathematical structure of quantum theory in the setting of the accepted postulates of quantum mechanics. Dirac's bra-ket notation for the required linear algebra aspects will be utilized, as well as the mathematical and physical implications arising from the mathematical aspects of self-adjoint linear operators, with emphasis on the finite dimensional setting. 2) Dynamics of a Quantum Particle. We introduce the Schrodinger equation and discuss its physical meaning and mathematical structure. The required partial differential equations theory is elementary, and will be developed from scratch. 3) Measurement, Time Evolution, Uncertainty, and the Harmonic Oscillator. This builds on the previously developed mathematics and culminates with a detailed discussion of the quantum mechanical workhorse example the harmonic oscillator. 4) Quantum Mechanics of Angular Momentum. Most of the book is developed in the context of the (relatively) simple one dimensional quantum systems. This topic goes into three dimensions and illustrates how very interesting mathematics can yield novel physical explanations that are unobtainable with classical methods. 5) The Postulates of Quantum Mechanics, Measurement, Composite Systems, Tensor Products, and Entanglement. This is the area that most students have heard of quantum entanglement, 'action-at-a- distance' and Bell's inequality. The mathematics will be at an elementary level (except possibly for tensor products, which are sadly neglected many linear algebra courses today, but which are literally exploding in a variety of current applications).

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Book SynopsisThis book provides a clear understanding of quantum mechanics (QM) by developing it from fundamental postulates in an axiomatic manner, as its central theme. The target audience is physics students at master’s level. It avoids historical developments, which are piecemeal, not logically well knitted, and may lead to misconceptions. Instead, in the present approach all of QM and all its rules are developed logically starting from the fundamental postulates only and no other assumptions.Specially noteworthy topics have been developed in a smooth contiguous fashion following the central theme. They provide a new approach to understanding QM. In most other texts, these are presented as disjoint separate topics. Since the reader may not be acquainted with advanced mathematical topics like linear vector space, a number of such topics have been presented as “mathematical preliminary.” Standard topics, viz. derivation of uncertainty relations, simple harmonic oscillator by operator method, bound systems in one and three dimensions, angular momentum, hydrogen-like atom, and scattering in one and three dimensions, are woven into the central theme.Advanced topics like approximation methods, spin and generalized angular momenta, addition of angular momenta, and relativistic quantum mechanics have been reserved for Volume II. ​Table of ContentsComplete manuscript is under the "Attachments" tab​​

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Book Synopsis“For anyone interested in the rapidly developing field of string theory (graduate students with the proper physics background), Siegel's book is a particularly good introduction.”>/p>Choice, USA“Siegel has played a major role in the application of BRST formalisms for quantization to string theory … Siegel's book is of great interest for those who intend to do research in string field theory.”Foundations of Physics, USA This volume covers the most up-to-date findings on string field theory. It is presented in a new approach as a result of insights gained from the theory. This includes the use of a universal method for treating free field theories, which allows the derivation of a single, simple, free, local, Poincare-invariant, gauge-invariant action that can be applied directly to any fields.

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Book SynopsisThis book is a distillation of Prof T Y Wu's fifty years of experience teaching quantum theory to many generations of physicists. Starting with chapters on classical physics and the old quantum theory, Prof Wu quickly develops Heisenberg's matrix mechanics and the Schroedinger equation. After a detailed treatment of the general formulation of quantum theory, standard discussions on Perturbation Theory and the Hydrogen Atom follow. A fairly exhaustive treatment of the Zeeman effect is to be found in these chapter. Many electron atoms are treated expertly. The former is treated with great depth; the latter is a good introduction to the subject.

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Book SynopsisThese lecture notes are based on special courses on Field Theory and Statistical Mechanics given for graduate students at the City College of New York. It is an ideal text for a one-semester course on Quantum Field Theory.Trade Review"... one finds excellent discussions of a number of topics not treated in textbooks: to wit, point canonical transformations, large N matrix models, collective variables and stochastic quantization ... This book should be useful reading for graduate students and research workers in quantum field theory and related subjects." Claus Montonen (Helsinki) Mathematical Reviews, April 1987

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Book SynopsisThese lecture notes are based on special courses on Field Theory and Statistical Mechanics given for graduate students at the City College of New York. It is an ideal text for a one-semester course on Quantum Field Theory.Trade Review"... one finds excellent discussions of a number of topics not treated in textbooks: to wit, point canonical transformations, large N matrix models, collective variables and stochastic quantization ... This book should be useful reading for graduate students and research workers in quantum field theory and related subjects." Claus Montonen (Helsinki) Mathematical Reviews, April 1987

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