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Essential Graduate Physics - Quantum Mechanics

Nguồn ngoài

Essential Graduate Physics - Quantum Mechanics

Tác giả
onstantin K. Likharev
Nhà xuất bản
Stony Brook University
Nguồn
LibreTexts
Giấy phép
CC BY-NC-SA
Ngôn ngữ
EN
Danh mục
Khoa học cơ bản
Mục lục· 87 mục
  1. 01: Introduction
  2. 1.01: Experimental motivations
  3. 1.02: Wave Mechanics Postulates
  4. 1.03: Postulates Discussion
  5. 1.04: Continuity Equation
  6. 1.05: Eigenstates and Eigenvalues
  7. 1.06: Time Evolution
  8. 1.07: Space Dependence
  9. 1.08: Dimensionality Reduction
  10. 1.09: Exercise Problems
  11. 02: 1D Wave Mechanics
  12. 2.01: Basic Relations
  13. 2.02: Free Particle- Wave Packets
  14. 2.03: Particle Reflection and Tunneling
  15. 2.04: Exercise Problems
  16. 2.05: Motion in Soft Potentials
  17. 2.06: Resonant Tunneling and Metastable States
  18. 2.07: 2.6. Localized State Coupling and Quantum Oscillations
  19. 2.08: Periodic Systems- Energy Bands and Gaps
  20. 2.09: Periodic Systems- Particle Dynamics
  21. 2.10: Harmonic Oscillator- Brute Force Approach
  22. 03: Higher Dimensionality Effects
  23. 3.01: Quantum Interference and the AB Effect
  24. 3.02: Landau Levels and the Quantum Hall Effect
  25. 3.03: Scattering and Diffraction
  26. 3.04: Energy Bands in Higher Dimensions
  27. 3.05: Axially-symmetric Systems
  28. 3.06: Spherically-symmetric Systems- Brute Force Approach
  29. 3.07: Atoms
  30. 3.08: Spherically-symmetric Scatterers
  31. 3.09: Exercise Problems
  32. 04: Bra-ket Formalism
  33. 4.01: Motivation
  34. 4.02: States State Vectors and Linear Operators
  35. 4.03: State Basis and Matrix Representation
  36. 4.04: Change of Basis and Matrix Diagonalization
  37. 4.05: Observables- Expectation Values and Uncertainties
  38. 4.06: Quantum Dynamics- Three Pictures
  39. 4.07: Coordinate and Momentum Representations
  40. 4.08: Exercise Problems
  41. 05: Some Exactly Solvable Problems
  42. 5.01: Two-level Systems
  43. 5.02: The Ehrenfest Theorem
  44. 5.03: The Feynman Path Integral
  45. 5.04: Revisiting Harmonic Oscillator
  46. 5.05: Glauber States and Squeezed States
  47. 5.06: Revisiting Spherically-symmetric Problems
  48. 5.07: Spin and Its Addition to Orbital Angular Momentum
  49. 5.08: Exercise Problems
  50. 06: Perturbative Approaches
  51. 6.01: Time-independent Perturbations
  52. 6.02: The linear Stark Effect
  53. 6.03: Fine Structure of atomic Levels
  54. 6.04: The Zeeman Effect
  55. 6.05: Time-dependent Perturbations
  56. 6.06: Quantum-mechanical Golden Rule
  57. 6.07: Golden Rule for Step-like Perturbations
  58. 6.08: Exercise Problems
  59. 07: Open Quantum Systems
  60. 7.01: Open Systems and the Density Matrix
  61. 7.02: Coordinate Representation and the Wigner Function
  62. 7.03: Open System Dynamics- Dephasing
  63. 7.04: Fluctuation-dissipation Theorem
  64. 7.05: The Heisenberg-Langevin Approach
  65. 7.06: Density Matrix Approach
  66. 7.07: Exercise Problems
  67. 08: Multiparticle Systems
  68. 8.01: Distinguishable and Indistinguishable Particles
  69. 8.02: Singlets Triplets and the Exchange Interaction
  70. 8.03: Multiparticle Systems
  71. 8.04: Perturbative Approaches
  72. 8.05: Quantum Computation and Cryptography
  73. 8.06: Exercise Problems
  74. 09: Elements of Relativistic Quantum Mechanics
  75. 9.01: Electromagnetic Field Quantization
  76. 9.02: Photon Absorption and Counting
  77. 9.03: Photon Emission- Spontaneous and Stimulated
  78. 9.04: Cavity QED
  79. 9.05: The Klien-Gordon and Relativistic Schrodinger Equations
  80. 9.06: Diracs Theory
  81. 9.07: Low Energy Limit
  82. 9.08: Exercise Problems
  83. 10: Making Sense of Quantum Mechanics
  84. 10.01: Quantum measurements
  85. 10.02: QND Measurements
  86. 10.03: Hidden Variables the Bell Theorem and Local Reality
  87. 10.04: Interpretations of Quantum Mechanics