Description
Book SynopsisQuantum Mechanics I: The Fundamentals provides a graduate-level account of the behavior of matter and energy at the molecular, atomic, nuclear, and sub-nuclear levels. It covers basic concepts, mathematical formalism, and applications to physically important systems.
This fully updated new edition addresses many topics not typically found in books at this level, including:
- Bound state solutions of quantum pendulum
- Morse oscillator
- Solutions of classical counterpart of quantum mechanical systems
- A criterion for bound state
- Scattering from a locally periodic potential and reflection-less potential
- Modified Heisenberg relation
- Wave packet revival and its dynamics
- An asymptotic method for slowly varying potentials
- Klein paradox, Einstein-Podolsky-Rosen (EPR) paradox, and Bell's theorem
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Table of Contents
1. Why Was Quantum Mechanics Developed? 2. Schrödinger Equation and Wave Function. 3. Operators, Eigenvalues and Eigenfunctions. 4. Exactly Solvable Systems I: Bound States. 5. Exactly Solvable Systems II: Scattering States. 6. Matrix Mechanics. 7. Various Pictures in Quantum Mechanics and Density Matrix. 8. Heisenberg Uncertainty Principle. 9. Momentum Representation. 10. Wave Packet. 11. Theory of Angular Momentum. 12. Hydrogen Atom. 13. Approximation Methods I: Time-Independent Perturbation Theory. 14. Approximation Methods II: Time-Dependent Perturbation Theory. 15. Approximation Methods III: WKB and Asymptotic Methods. 16. Approximation Methods IV: Variational Method. 17. Scattering Theory. 18. Identical Particles. 19. Relativistic Quantum Theory. 20. Mysteries in Quantum Mechanics. 21. Delayed-Choice Experiments. 22. Fractional Quantum Mechanics. 23. Numerical Methods for Quantum Mechanics. Appendices. Index.
