Introduction to Quantum Mechanics

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【簡介】 This book provides a lucid introduction to the basic ideas of quantum mechanics. Meant for undergraduate and graduate physics students, it contains discussions on advanced topics that will be beneficial for researchers also. The text is designed according to the syllabi followed in major Indian universities. Chapters are designed to provide an equal emphasis to physical as well as mathematical significance of concepts. The text is divided in four parts. The first part introduces concepts of formalism and includes topics, namely wave-particle duality, state vectors, and symmetry. The second part comprises discussions on exactly solvable problems. This is followed by the third part which deals with various approximation techniques including degenerate and non-degenerate perturbation theory, WKB approximation, and Born approximation. The fourth part of this book deals with advanced topics like permutation symmetry, Dirac particle in a central potential, and EPR paradox. 【目錄】 Preface Part I. Formalism: 1. Uncertainty 2. State vectors 3. Quantum dynamics 4. Time evolution of quantum systems 5. Symmetry Part II. Exact Solutions: 6. The free particle 7. Exactly solvable problems in one dimension 8. Angular momentum 9. Exactly solvable problems in three dimensions 10. Particles in magnetic fields Part III. Approximations: 11. Approximation methods 12. Time-dependent problems 13. Scattering theory Part IV. Advanced Topics: 14. Identical particles 15. Relativistic corrections 16. Interpretation of quantum mechanics 17. Miscellaneous topics Part V. Appendices: A. Delta function B. Solution of second-order differential equations C. Special functions D. Further properties of special functions E. Saddle-point method Index.