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Quantum Mechanics

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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
Author
Michael Fowler
Publisher
University of Virginia
Source
LibreTexts
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 57 sections
  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.