equation 9.62 eq:slt-wkb-ansatz

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Supports

• depends_on corollary 9.62 The semiclassical wave ¶
  • depends_on proposition 9.63 The transport equation is flux conservation ¶
    • depends_on theorem 9.76 Semiclassical transmission through a barrier ¶
      • assumes experiment Cockcroft and Walton: lithium split by accelerated protons ¶
        • cites (data) derived bib 3261 Disintegration of Lithium by Swift Protons ¶
        • cites (evidence) derived bib 3261 Disintegration of Lithium by Swift Protons ¶ ↺
        • cites (method) derived bib 830 Experiments with high velocity positive ions.---(I) Further developments in the method of obtaining high velocity positive ions ¶
        • cites (data) derived bib 831 Experiments with high velocity positive ions. II. -The disintegration of elements by high velocity protons ¶
        • cites (data) derived bib 831 Experiments with high velocity positive ions. II. -The disintegration of elements by high velocity protons ¶ ↺
        • cites (evidence) derived bib 831 Experiments with high velocity positive ions. II. -The disintegration of elements by high velocity protons ¶ ↺
        • cites (context) derived bib 3-4 Zur Quantentheorie des Atomkernes ¶
        • cites (context) derived bib 3-4 Zur Quantentheorie des Atomkernes ¶ ↺
        • cites (context) derived bib 3073 Wave Mechanics and Radioactive Disintegration ¶
        • cites (context) derived bib 3073 Wave Mechanics and Radioactive Disintegration ¶ ↺
        • cites (context) derived bib 2 Quantum Mechanics and Radioactive Disintegration ¶
        • cites (context) derived bib 2 Quantum Mechanics and Radioactive Disintegration ¶ ↺
        • … 1 more
      • depends_on example 9.81 Gamow factor for an alpha particle, in SI ¶
        • depends_on example 9.82 Checking the validity criterion for the barrier above ¶
      • depends_on phenomenon 117.5 The reaction proceeds far below the Coulomb barrier ¶
        • tests experiment Cockcroft and Walton: lithium split by accelerated protons ¶ ↺
      • depends_on theorem 107.63 Alpha decay rate ¶
  • depends_on theorem 9.72 Connection formulae ¶
    • depends_on postulate A.795 Matching, quoted ¶
      • depends_on corollary A.799 The impressed pressure gradient ¶
    • depends_on proposition 23.57 The wave resolution at a turning surface ¶
      • depends_on remark 23.58 The caustics that are not turning surfaces ¶
      • depends_on remark 23.59 What is observed ¶
    • depends_on proposition 23.56 The phase jump at a fold ¶
    • depends_on proposition 9.74 Connection at a turning point of odd order ¶
    • depends_on remark 23.51 Where the expansion breaks, and what is owed ¶
      • depends_on proposition 23.57 The wave resolution at a turning surface ¶ ↺
    • depends_on theorem 9.78 Semiclassical quantisation of a well ¶
      • depends_on example 9.80 The harmonic oscillator ¶
      • depends_on proposition 23.38 Bohr–Sommerfeld and Einstein–Brillouin–Keller quantization ¶
        • depends_on remark 24.57 The half-integer, and the honest status of the construction ¶
      • depends_on proposition 52.24 The p-mode cavity ¶
        • depends_on phenomenon 52.25 The Sun rings, and its interior can be inverted ¶
    • depends_on theorem 9.76 Semiclassical transmission through a barrier ¶ ↺
  • depends_on theorem 9.78 Semiclassical quantisation of a well ¶ ↺
  • depends_on theorem 9.76 Semiclassical transmission through a barrier ¶ ↺
• depends_on proposition 9.60 Exact Riccati form ¶
  • depends_on proposition 9.61 Eikonal and transport equations ¶
    • depends_on corollary 9.62 The semiclassical wave ¶ ↺
    • depends_on proposition 23.49 The Hamilton–Jacobi equation is the leading order ¶
      • depends_on remark 23.50 The dictionary completed ¶
    • depends_on proposition 9.65 Validity criterion ¶
      • depends_on example 9.82 Checking the validity criterion for the barrier above ¶ ↺
      • depends_on remark 23.51 Where the expansion breaks, and what is owed ¶ ↺
      • depends_on remark 23.50 The dictionary completed ¶ ↺