Description
Book SynopsisA textbook for a two-semester graduate course on quantum mechanics with a strong emphasis on conceptual issues and contemporary topics. The text contains type A and B material separated by difficulty. Self-contained, this book demands minimal physics background and is accompanied by 300 unsolved problems and 150 questions, and a solutions manual.
Trade Review'Anchored in foundational principles and mathematics, and garnished with historical and philosophical insight, Dr. Anastopoulos presents a comprehensive view of quantum mechanics. Coupled with an engaging and clear style, this text is appealing at the advanced undergraduate level, graduate level, and beyond.' Kevin Kelley, Brigham Young University
'Written in an engaging style, this textbook is a lucid addition to the scientific catalogue on quantum theory. Its notable strengths are the coverage of contemporary topics, the mathematical rigour in traditional topics, and the careful explanations of subtle topics.' Andrew Akeroyd, University of Southampton
'Introductory textbooks on quantum mechanics tend to restrict much of their attention to systems with finite-dimensional state spaces and thereby miss important issues related to unbounded operators and domain questions. Books with adequate coverage of those topics often presuppose ample mathematical proficiency. One virtue of the approach taken by Anastopoulos is to introduce a broader readership to matters of this kind.' Jürgen Fuchs, Karlstad University
'Quantum Theory by Charis Anastopoulos is a beautiful, well-written book that explores the foundations of quantum theory in a clear, thorough, and elegant way. I expect that Quantum Theory will become an important text that will serve a broad audience. In particular, it will take a special place that introduces undergraduates to the ideas of quantum theory while providing them with an accessible path to all the wonderful topics that they will want to pursue later-as an undergraduate researcher, a graduate student, or to come back to for fun. It will certainly become a 'go-to' book.' Christopher G. Fasano, Monmouth College
Table of ContentsPreface; Acknowledgements; Important Information; How to Use This Book; Conventions; Part I. Introduction: 1. The classical world; 2. The birth of quantum theory; Part II. The Principles of Quantum Theory: 3. Hilbert spaces and the superposition principle; 4. Operators: I. General theory; 5. Operators: II. Applications; 6. Quantum probabilities; 7. Time evolution; 8. Quantum state reduction; 9. Composite quantum systems and entanglement; 10. Quantum-classical correspondence; Part III. Elementary Systems and Their Symmetries: 11. Symmetries I: Rotations; 12. Symmetries: II Group theory in quantum mechanics; 13. Particles in three dimensions; 14. Particles with spin; 15. Particle statistics and field-particle duality; 16. Relativistic systems; Part IV. Techniques: 17. Energy spectra and the structure of composite systems; 18. Transitions and decays; 19. Scattering theory; 20. Open quantum systems; Part V. Quantum Foundations: 21. Quantum measurements; 22. Interpretations and challenges; Appendix A Useful formulas; Appendix B Special functions; Appendix C Elements of group theory; References.