Lectures on Quantum Mechanics
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Lectures on Quantum Mechanics
A Primer for Mathematicians
Cambridge University Press
09/2020
582
Dura
Inglês
9781108429764
15 a 20 dias
Descrição não disponível.
Preface; Prolegomenon; 1. The Harmonic Oscillator: Classical verses Quantum; 2. The Mathematical Structure of Quantum Mechanics; 3. Observables 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: Heisenberg Uncertainty; 10. Wave Mechanics II: The Fourier Transform; 11. Wave Mechanics III: The Quantum Oscillator; 12. Angular Momentum I: Basics; 13. Angular Momentum II: Representations of su(2); 14. Angular Momentum III: The Central Force Problem; 15. Wave Mechanics IV: The Hydrogenic Potential; 16. Wave Mechanics V: Hidden Symmetry Revealed; 17. Wave Mechanics VI: Hidden Symmetry Solved; 18. Angular Momentum IV: Addition Rules and Spin; 19. Wave Mechanics VII: Pauli's Spinor Theory; 20. Clifford Algebras and Spin Representations *; 21. Many-Particle Quantum Systems; 22. The EPR Argument and Bell's Inequalities; 23. Ensembles and Density Operators; 24. Bosons and Fermions; 25. The Fock Space for Indistinguishable Quanta; 26. An Introduction to Quantum Statistical Mechanics; 27. Quantum Dynamics; 28. Unitary Representations 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; Epilogue; Resources for Individual Exploration; Bibliography; Index.
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Preface; Prolegomenon; 1. The Harmonic Oscillator: Classical verses Quantum; 2. The Mathematical Structure of Quantum Mechanics; 3. Observables 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: Heisenberg Uncertainty; 10. Wave Mechanics II: The Fourier Transform; 11. Wave Mechanics III: The Quantum Oscillator; 12. Angular Momentum I: Basics; 13. Angular Momentum II: Representations of su(2); 14. Angular Momentum III: The Central Force Problem; 15. Wave Mechanics IV: The Hydrogenic Potential; 16. Wave Mechanics V: Hidden Symmetry Revealed; 17. Wave Mechanics VI: Hidden Symmetry Solved; 18. Angular Momentum IV: Addition Rules and Spin; 19. Wave Mechanics VII: Pauli's Spinor Theory; 20. Clifford Algebras and Spin Representations *; 21. Many-Particle Quantum Systems; 22. The EPR Argument and Bell's Inequalities; 23. Ensembles and Density Operators; 24. Bosons and Fermions; 25. The Fock Space for Indistinguishable Quanta; 26. An Introduction to Quantum Statistical Mechanics; 27. Quantum Dynamics; 28. Unitary Representations 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; Epilogue; Resources for Individual Exploration; Bibliography; Index.
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