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Advanced Quantum Mechanics

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Advanced Quantum Mechanics

Quantum MechanicsPhysics
Author
Pieter Kok
Publisher
University of Sheffield
Source
LibreTexts
License
CC BY-NC-SA
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 87 sections
  1. 01: Linear Vector Spaces and Hilbert Space
  2. 1.01: Linear Vector Spaces
  3. 1.02: Operators in Hilbert Space
  4. 1.03: Hermitian and Unitary Operators
  5. 1.04: Projection Operators and Tensor Products
  6. 1.05: The Trace and Determinant of an Operator
  7. 02: The Postulates of Quantum Mechanics
  8. 03: Schrodinger and Heisenberg Pictures
  9. 04: Mixed States and the Density Operator
  10. 4.01: Mixed States
  11. 4.02: Decoherence
  12. 4.03: Imperfect Measurements
  13. 05: Composite Systems and Entanglement
  14. 5.01: Composite Systems
  15. 5.02: Entanglement
  16. 5.03: Quantum teleportation
  17. 06: Evolution of Open Quantum Systems
  18. 6.01: The Lindblad Equation
  19. 6.02: Positive and Completely Positive Maps
  20. 6.3: Bra Vectors and the Inner Product
  21. 6.4: Normalization and Orthogonality
  22. 6.5: Interpreting the Inner Product
  23. 6.5.1: Propagating Amplitudes
  24. 07: Orbital Angular Momentum and Spin
  25. 7.01: Orbital Angular Momentum
  26. 7.02: Spin
  27. 7.03: Total Angular Momentum
  28. 7.04: Composite Systems with Angular Momentum
  29. 08: Identical Particles
  30. 8.01: Symmetric and Anti-symmetric States
  31. 8.02: Creation and Annihilation Operators
  32. 8.3: Observables Based on Creation and Annihilation Operators
  33. 8.4: Bose-Einstein and Fermi-Dirac Statistics
  34. 09: New Page
  35. 9.1: Interacting Electrons in Atomic Shells
  36. 9.2 Spin Waves in Solids
  37. 9.3: An Atom in a Cavity
  38. 9.4: Outlook: Quantum Field Theory
  39. 10: Pauli Spin Matrices
  40. 10.1: Spin Operators
  41. 10.2: Expectation Values
  42. 10.3: Total Angular Momentum
  43. 11: Noncommuting Operators and Uncertainty
  44. 11.1: Eigenstates and Commuting Operators
  45. 11.2: Non-Commuting Operators
  46. 11.3: Quantifying Uncertainty
  47. 11.3.1: Mean and Variance
  48. 11.3.2: Uncertainty in Quantum Mechanics
  49. 11.4: The Heisenberg Uncertainty Principle
  50. 11.4.1: An Alternate Formulation
  51. 11.4.2: Vacuum Energy
  52. 12: Multiple Particle States
  53. 12.1: Indistinguishable Particles
  54. 12.2: Notating Multiple Particle States
  55. 12.3: The Exchange Operator
  56. 12.4: Fermions and Bosons
  57. 12.5: The Pauli Exclusion Principle
  58. 12.6: Entangled Particles
  59. 13: The Schrodinger Equation
  60. 13.1: Where we are so far
  61. 13.2: Stating the Equation
  62. 13.3: Free Particles and the de Broglie Wavelength
  63. 13.4: Quantized Energy Levels in Bound Systems
  64. 13.5: The Simple Harmonic Oscillator
  65. 13.6: The Hydrogen Atom
  66. 13.7: Interpretation of the Wave Function (x)
  67. 14: Atomic Orbitals
  68. 14.1: The Schrodinger Equation
  69. 14.2: The Orbitals
  70. 14.3: Visualizing Orbitals
  71. 14.3.1: s Orbitals
  72. 14.3.2: p Orbitals
  73. 14.3.3: d Orbitals
  74. 15: The Periodic Table of the Elements
  75. 15.1: Interacting Electrons, Energy Levels, and Filled Shells
  76. 15.2: Filling Up Orbitals
  77. 15.3: Reading a Periodic Table
  78. 15.3.1: Electronic Configuration
  79. 16: Matter
  80. 16.1: The Standard Model of Particle Physics
  81. 16.2: Nuclei and Atoms
  82. 16.3: Molecules
  83. 16.4: Solids
  84. 16.5: Liquids, Gasses, and Plasmas
  85. 16.5.1: Quantum Gasses
  86. 16.6: Planets, Stars, Galaxies, and Clusters
  87. 16.7: Dark Matter and Dark Energy