Lectures on Quantum Mechanics
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Lectures on Quantum Mechanics
A Primer for Mathematicians
Cambridge University Press
08/2020
614
Dura
Inglês
9781108429764
imprevisto
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Preface (in five short acts); Prolegomenon; Part I Nonrelativistic Quantum Mechanics; 1. The Harmonic Oscillator: Classical verses Quantum; 2. The Mathematical Structure of Quantum Mechanics; 3. Observables: Self-adjoint Operators and Expectation Values; 4. The Projection Postulate Examined; 5. Rigged Hilbert Space and the Dirac Calculus; 6. A Review of Classical Mechanics; 7. Hamilton-Jacobi Theory *; 8. Classical Mechanics Regain'd; 9. Wave Mechanics I: The Heisenberg Uncertainty Principle; 10. Wave Mechanics II: The Fourier Transform; 11. Wave Mechanics III: The Quantum Oscillator; 12. Angular Momentum Operators I: Basics; 13. Angular Momentum Operators II: Representations of su(2); 14. Angular Momentum Operators III: The Central Force Problem; 15. Wave Mechanics IV: The Hydrogenic Potential; 16. Wave Mechanics V: Hidden Symmetry; 17. Wave Mechanics VI: Representations and Group Characters; 18. Angular Momentum Operators IV: Addition Rules, etc.; 19. Wave Mechanics VII: Pauli's Spinor Theory; 20. Cli ord Algebras and Spin Representations *; 21. Many Particle Quantum Systems; 22. The EPR Argument, Nonlocality, and Bell's Inequalities; 23. Ensembles and Density Operators; 24. Bosons and Fermions; 25. The Fock Space for Indistinguishable Quanta; 26. A Brief Introduction to Quantum Statistical Mechanics; 27. Quantum Dynamics; 28. Unitary Representations, Symmetry, and Conservation Laws; 29. The Feynman Formulation of Quantum Mechanics; 30. A Mathematical Interlude: Gaussian Integrals; 31. Evaluating Path Integrals I; 32. Evaluating Path Integrals II; References; Epilogue; Resources for Individual Exploration; Bibliography; Index.
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Preface (in five short acts); Prolegomenon; Part I Nonrelativistic Quantum Mechanics; 1. The Harmonic Oscillator: Classical verses Quantum; 2. The Mathematical Structure of Quantum Mechanics; 3. Observables: Self-adjoint Operators and Expectation Values; 4. The Projection Postulate Examined; 5. Rigged Hilbert Space and the Dirac Calculus; 6. A Review of Classical Mechanics; 7. Hamilton-Jacobi Theory *; 8. Classical Mechanics Regain'd; 9. Wave Mechanics I: The Heisenberg Uncertainty Principle; 10. Wave Mechanics II: The Fourier Transform; 11. Wave Mechanics III: The Quantum Oscillator; 12. Angular Momentum Operators I: Basics; 13. Angular Momentum Operators II: Representations of su(2); 14. Angular Momentum Operators III: The Central Force Problem; 15. Wave Mechanics IV: The Hydrogenic Potential; 16. Wave Mechanics V: Hidden Symmetry; 17. Wave Mechanics VI: Representations and Group Characters; 18. Angular Momentum Operators IV: Addition Rules, etc.; 19. Wave Mechanics VII: Pauli's Spinor Theory; 20. Cli ord Algebras and Spin Representations *; 21. Many Particle Quantum Systems; 22. The EPR Argument, Nonlocality, and Bell's Inequalities; 23. Ensembles and Density Operators; 24. Bosons and Fermions; 25. The Fock Space for Indistinguishable Quanta; 26. A Brief Introduction to Quantum Statistical Mechanics; 27. Quantum Dynamics; 28. Unitary Representations, Symmetry, and Conservation Laws; 29. The Feynman Formulation of Quantum Mechanics; 30. A Mathematical Interlude: Gaussian Integrals; 31. Evaluating Path Integrals I; 32. Evaluating Path Integrals II; References; Epilogue; Resources for Individual Exploration; Bibliography; Index.
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