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Quantum mechanics

Chapter 6 Time-independent Perturbation Theory. . . What

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Quantum mechanics

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    1. ???? Quantum mechanics School of Physics and Information Technology Shaanxi Normal University

    2. Chapter 6 Time-independent Perturbation Theory

    5. OUTLINE Non-degenerate perturbation theory Degenerate perturbation theory Some examples for application

    6. Non-degenerate Perturbation Theory General formulation First-order theory Second-order energies

    7. General formulation

    8. The unperturbed case

    13. First-Order Theory The first-order correction to the energy The first-order correction to the wave function

    14. The first-order correction to the energy

    16. Example

    18. The first-order correction to the wave function

    21. Second-order energies

    23. Results

    24. Degenerate Perturbation Theory Two-ford degeneracy Higher-order degeneracy

    25. Non-degenerate perturbation theory fail? In many cases, where two (or more) distinct states share the same energy, non-degenerate perturbation theory fail ! Sometimes, two energy levels exists so near that non-degenerate perturbation theory cannot give us a satisfied answer.

    26. Two-ford degeneracy

    27. In order to see how the method generalizes, we begin with the twofold degeneracy

    33. How should we do in practice

    35. Higher-order degeneracy

    37. Example

    44. Some Examples For Application The fine structure of hydrogen The zeeman effect Hyperfine splitting

    45. The Fine Structure of Hydrogen The relativistic correction Spin-orbit coupling

    48. The relativistic correction

    50. Express T in terms of the relativistic momentum

    52. In the case of hydrogen

    54. Spin-Orbit Coupling

    55. The Magnetic Field of the Proton

    56. The Magnetic Dipole Moment of the Electron

    58. The Spin-Obit Interaction

    59. The Spin-Obit Interaction

    62. Fine structure

    64. The Fine Structure of Hydrogen

    65. The Zeeman Effect Weak-field zeeman effect Strong-field zeeman effect Intermediate-field zeeman effect

    66. General discussion

    67. Consider an atom placed in a uniform external magnetic field Bext What & How

    68. Zeeman Effect

    69. Weak-field Zeeman Effect

    73. Strong-field Zeeman Effect

    74. Strong-field Zeeman Effect

    75. Strong-field Zeeman Effect

    76. Intermediate-field Zeeman Effect

    77. Intermediate-field Zeeman Effect

    78. Matrix of H'

    80. Hyperfine splitting

    81. Brief introduction to proton

    82. Brief introduction to proton

    83. The electron near proton

    84. For the ground state hydrogen

    86. Effect of spin-spin coupling

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