Theorem: sum_{v=0}^{inf} S^v exp(-S)/v! = 1 (FC Poisson-factor completeness)

Layer 1 — Physicsin the chemical-physics subtree

Theorem (FC-completeness canonical): sum over all final vibrational levels of Poisson FC factors is unity: sum_{v=0}^{inf} S^v exp(-S)/v! = exp(-S) * exp(S) = 1 identically. Canonical sympy pins: v_sym = sp.Symbol('v', integer=True,…

Related concepts

Franck-Condon factor |<v'|v>|^2 = S^v exp(-S)/v! (Poisson); L^2 completeness

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