equation 9.64 eq:slt-wkb-series

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Supports

• depends_on proposition 9.61 Eikonal and transport equations ¶
  • 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 ¶
        • depends_on example 9.81 Gamow factor for an alpha particle, in SI ¶
        • depends_on phenomenon 117.5 The reaction proceeds far below the Coulomb barrier ¶
        • 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 proposition 52.24 The p-mode cavity ¶
      • 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 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 ¶ ↺
• depends_on proposition 9.65 Validity criterion ¶ ↺