{"product_id":"the-structure-interpretation-of-quantum-mechanics-9780674843929","title":"The Structure  Interpretation of Quantum","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eR. I. G. Hughes offers the first detailed and accessible analysis of the Hilbert-space models used in quantum theory and explains why they are so successful. He goes on to show how the very suitability of Hilbert spaces for modeling the quantum world gives rise to deep problems of interpretation and makes suggestions about how they can be overcome.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eA formidable and intelligent account of the (partial) Hilbert-space formalization of quantum mechanics and the inevitable philosophical ambiguities that result… A marvelous book. -- P. D. Skiff * Choice *\u003cbr\u003eThe power and elegance of the quantum-mechanical arguments are excellently portrayed and the reader…could not help being impressed by the sheer intellectual beauty of the subject. -- Alastair Rae * Times Higher Education Supplement *\u003cbr\u003e[This book] complements the material covered in standard textbooks on quantum theory, in which the issue of interpretation of the theory is too often neglected. -- Eduardo Sanchez Velasco * Science Books and Films *\u003cbr\u003eHughes has written the best self-contained introduction to the foundations of quantum mechanics yet to appear… Hughes is clearly a gifted teacher, and a casual look at the book may suggest that it is primarily a textbook. In fact, a definitive interpretive perspective is developed throughout the book. -- Allen Stairs * Synthèse *\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface   Introduction. The Stern-Gerlach Experiment    PART I THE STRUCTURE OF QUANTUM THEORY   1. Vector Spaces    Vectors   Operators   Eigenvectors and Eigenvalues   Inner Products of Vectors in R2   Complex Numbers   The Space C2   The Pauli Spin Matrices   Mathematical Generalization   Vector Spaces   Linear Operators   Inner Products on V   Subspaces and Projection Operators   Orthonormal Bases   Operators with a Discrete Spectrum   Operators with a Continuous Spectrum   Hilbert Spaces   2. States and Observables in Quantum Mechanics   Classical Mechanics: Systems and Their States   Observables and Experimental Questions   States and Observables in Quantum Theory   Probabilities and Expectation Values   The Evolution of States in Classical Mechanics   Determinism   The Evolution of States in Quantum Mechanics   Theories and Models   3. Physical Theory and Hilbert Spaces   Minimal Assumptions for Physical Theory   The Representation of Outcomes and Events   The Representation of States   Determinism, Indeterminism, and the Principle of Superposition   Mixed States   Observables and Operators   Relations between Observables: Functional Dependence and Compatibility   Incompatible Observables   The Representational Capacity of Hilbert Spaces   The Schrodinger Equation   4. Spin and Its Representation   Symmetry Conditions and Spin States   A Partial Representation of Spin in R2   The Representation of (Sa) in C2   Conclusion   5. Density Operators and Tensor-Product Spaces   Operators of the Trace Class   Density Operators   Density Operators on C2   Pure and Mixed States   The Dynamical Evolution of States   Gleason's Theorem   Composite Systems and Tensor-Product Spaces   The Reduction of States of Composite Systems    Part II The Interpretation of Quantum Theory   6. The Problem of Properties   Properties, Experimental Questions, and the Dispersion Principle   The EPR Argument   Bohm's Version of the EPR Experiment   The Statistical Interpretation   Kochen and Specker's Example   Generalizing the Problem   The Bell-Wigner Inequality   Hidden Variables   Interpreting Quantum Theory: Statistical States and Value States   7. Quantum Logic   The Algebra of Properties of a Simple Classical System   Boolean Algebras   Posets and Lattices   The Structure of S(H)   The Algebra of Events   A Formal Approach to Quantum Logic   An Unexceptionable Interpretation of Quantum Logic   Putnam on Quantum Logic   Properties and Deviant Logic   8. Probability, Causality, and Explanation   Probability Generalized   Two Uniqueness Results   The Two-Slit Experiment: Waves and Particles   The Two-Slit Experiment: Conditional Probabilities   The Bell-Wigner Inequality and Classical Probability   Bell Inequalities and Einstein-Locality   Bell Inequalities and Causality   Coupled Systems and Conditional Probabilities   Probability, Causality, and Explanation   9. Measurement   Three Principles of Limitation   Indeterminacy and Measurement   Projection Postulates   Measurement and Conditionalization   The Measurement Problem and Schrodinger's Cat   Jauch's Model of the Measurement Process   A Problem for Internal Accounts of Measurement   Three Accounts of Measurement   10. An Interpretation of Quantum Theory   Abstraction and Interpretation   Properties and Latencies: The Quantum Event Interpretation   The Copenhagen Interpretation   The Priority of the Classical World   Quantum Theory and the Classical Horizon      Appendix A. Gleason's Theorem   Appendix B. The Lyders Rule   Appendix C. Coupled Systems and Conditionalization    References   Index","brand":"Harvard University Press","offers":[{"title":"Default Title","offer_id":49403612299607,"sku":"9780674843929","price":37.36,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780674843929.jpg?v=1730483985","url":"https:\/\/bookcurl.com\/products\/the-structure-interpretation-of-quantum-mechanics-9780674843929","provider":"Book Curl","version":"1.0","type":"link"}