Προσθήκη στα αγαπημένα
The ideal text for a two-semester graduate course on quantum mechanics. Fresh, comprehensive, and clear, it strikes the optimal balance between covering traditional material and exploring contemporary topics. Focusing on the probabilistic structure of quantum mechanics and the central role of symmetries to unify principles, this textbook guides readers through the logical development of the theory. Students will also learn about the more exciting and controversial aspects of quantum theory, with discussions on past interpretations and the current debates on cutting-edge concepts such as quantum information and entanglement, open quantum systems, and quantum measurement theory. The book has two types of content: Type A material is more elementary and is fully self-contained, functioning like a separate book within the book, while Type B content is at the level of a graduate course. Requiring minimal physics background, this textbook is appropriate for mathematics and engineering students, in addition to physicists. Introducing cutting-edge topics in the field, the book features about 150 concept-checking questions, 300 homework problems and a solutions manual.
Preface
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.
Περιγραφή
The ideal text for a two-semester graduate course on quantum mechanics. Fresh, comprehensive, and clear, it strikes the optimal balance between covering traditional material and exploring contemporary topics. Focusing on the probabilistic structure of quantum mechanics and the central role of symmetries to unify principles, this textbook guides readers through the logical development of the theory. Students will also learn about the more exciting and controversial aspects of quantum theory, with discussions on past interpretations and the current debates on cutting-edge concepts such as quantum information and entanglement, open quantum systems, and quantum measurement theory. The book has two types of content: Type A material is more elementary and is fully self-contained, functioning like a separate book within the book, while Type B content is at the level of a graduate course. Requiring minimal physics background, this textbook is appropriate for mathematics and engineering students, in addition to physicists. Introducing cutting-edge topics in the field, the book features about 150 concept-checking questions, 300 homework problems and a solutions manual.
