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Quantum Mechanics

Nguồn ngoài

Quantum Mechanics

These notes cover the essential core topics of a standard graduate quantum mechanics course. The first lectures here review undergraduate quantum and modern physics as a reminder, this optional material was only covered briefly in class.

Quantum MechanicsPhysics
Tác giả
Michael Fowler
Nhà xuất bản
University of Virginia
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LibreTexts
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EN
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Khoa học cơ bản
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Mục lục· 57 mục
  1. 01: Reviewing Elementary Stuff
  2. 1.01: Breakdown of Classical Mechanics
  3. 1.02: Early Quantum Mechanics
  4. 1.03: Wave Equations Wavepackets and Superposition
  5. 1.04: The Uncertainty Principle
  6. 1.05: Electron in a Box
  7. 02: Some Essential Math
  8. 2.01: Fourier Series and Integrals the Dirac Function
  9. 2.02: Linear Algebra
  10. 2.03: Function Spaces
  11. 2.04: Complex Variable, Stationary Path Integrals
  12. 03: Mostly 1-D Quantum Mechanics
  13. 3.01: 1-D Schrodinger Equation - Example Systems
  14. 3.02: General Uncertainty Principal
  15. 3.03: Energy-Time Uncertainty Principle
  16. 3.04: The Simple Harmonic Oscillator
  17. 3.05: Propagators and Representations
  18. 3.06: Coherent States
  19. 3.07: Path Integrals
  20. 3.08: Path Integrals for the SHO
  21. 3.09: Appendix- Some Exponential Operator Algebra
  22. 04: Angular Momentum Spin and the Hydrogen Atom
  23. 4.01: Angular Momentum Operator Algebra
  24. 4.02: Orbital Eigenfunctions- 2-D Case
  25. 4.03: Note on Curvilinear Coordinates
  26. 4.04: Orbital Eigenfunctions in 3-D
  27. 4.05: Spin
  28. 4.06: The Hydrogen Atom
  29. 4.07: Adding Angular Momenta
  30. 4.08: Tensor Operators
  31. 05: Interlude - The Nature of Electrons
  32. 5.01: Bosons and Fermions
  33. 5.02: Multielectron Atoms
  34. 06: Charged Particle in Magnetic Field
  35. 6.01: Charged Particle in a Magnetic Field
  36. 07: The Density Matrix
  37. 7.01: The Density Matrix
  38. 08: Approximate Methods
  39. 8.01: Variational Methods
  40. 8.02: The WKB Approximation
  41. 8.03: Note on the WKB Connection Formula
  42. 09: Perturbation Theory
  43. 9.01: Time-Independent Perturbation Theory
  44. 9.02: The Peierls Transition - an Unexpected Insulator
  45. 9.03: Van Der Waals Forces between Atoms
  46. 9.04: The Interaction Representation
  47. 9.05: Time-Dependent Perturbation Theory
  48. 9.06: The Photoelectric Effect in Hydrogen
  49. 9.07: Quantizing Radiation
  50. 10: Scattering Theory
  51. 10.01: Scattering Theory
  52. 10.02: More Scattering Theory - Partial Waves
  53. 10.03: Scattering Amplitudes Bound States Resonances
  54. 10.04: Identical Particles- Symmetry and Scattering
  55. 11: Other Material
  56. 11.01: Schrodinger Spreadsheets
  57. 11.02: Homeworks exams etc.