Quantum Mechanics

This book presents a novel treatment of some unusual topics of non-relativistic theory of quantum mechanics, not often covered in classic texts. Notable among these are the first quantized theory of photons and neutrons (most books give the second quantized theory); Bohr-Sommerfeld 'action' as differential operators with their eigenvalues n and l and their corresonding eigenfunctions; parabose and parafermi symmetries of identical particles; Dirac's initiation of Lagrangian formulation of quantum mechanics (also know as transformation theory) and its elaboration and completion by Feynman; topological phase of the wavefunction in Bohm-Aharonov, Aharonov-Casher and neutron interferometer experiments (examples of the Berry phase); and quantum beats such as Stark and exchange oscillations simlar to K0K0and neutrino oscillations in particle physics.

The book is intended to broaden one's understanding of quantum mechanics. Graduate students of physics, as well as teachers, will find this fresh exposition of topics interesting.

CONTENTS

1.Genesis 2. Foundations 3. Symmetry and Conservation Laws 4. Energy, Momentum and Angular Momentum 5. Quantum Mechanics of Photon and Neutrino 6. Passage from Quantum to Classical Mechanics 7. Solution of Schrodinger Equation 8. The Hydrogen Atom 9. Action in Quantum Mechanics 10. Perturbation Theory 11. Electron Spin and Hydrogen Fine Structure 12. Identical Particles 13. The Helium Atom 14. Many-Electron Atoms 15. Emission and Absorption of Photons by Atoms 16. Scattering of Photons by Atoms 17. Lamb Shift 18. Theory of Scattering 19. Phase of Wavefunction 20. Lagrangian Formulation of Quantum Mechanics 21. Paradoxes in Quantum Mechanics

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