Quantum Mechanics: Theory and Applications

Acknowledgements. Preface. Prologue. Chronological Development of Quantum Mechanics: A Very Brief Account. Physical Constants. Part I: Mathematical Preliminaries. 1. The Dirac Delta Function. 2. Fourier Transforms. Part II: Basic Quantum Mechanics. 3. Particles and Waves and the Uncertainty Principle. 4. Time Dependent Schrödinger Equation. 5. Propagation of Wave Packets and Concept of Group Velocity. 6. Bound State Solutions of the Schrödinger Equation. 7. Linear Harmonic Oscillator: I. Solution of the Schrödinger Equation and Relationship with the Classical Oscillator. 8. One-Dimensional Barrier Transmission Problems. 9. Angular Momentum I - The Spherical Harmonics. 10. Spherically Symmetric Potentials Hydrogen Atom Problem, Rotation Vibration Spectra, Three-Dimensional Oscillator. 11. Dirac's Bra and Ket Algebra. 12. Linear Harmonic Oscillator: II. Solutions Using Bra and Ket Algebra. 13. Angular Momentum II Using Bra and Ket Algebra. 14. Experiments with Spin Half Particles, The Stern-Gerlach Experiment, Larmor Precession and Magnetic Resonance. 15. Angular Momentum III Eigenfunctions Using Operator Algebra. 16. The Double Well Potential and the Krönig-Penney Model. 17. The JWKB Approximation. 18. Addition of Angular Momenta: The Clebsch-Gordan Coefficients. 19. Time Independent Perturbation Theory. 20. Effects of Magnetic Field. 21. The Variational Method. 22. The Helium Atom and the Exclusion Principle. 23. Some Select Topics. 24. Elementary Theory of Scattering. 25. Time Dependent PerturbationTheory. 26. The Semi-Classical Theory of Radiation and the Einstein Coefficients. 27. The Quantum Theory of Radiation and Its Interaction with Matter. 28. Relativistic Theory. Appendices. Index.