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Physics · L5 · From Path Integral to Classical Mechanics and to Statistical Mechanics

Two limits of the Feynman path integral: the classical (stationary-phase) limit, and the Wick-rotated statistical-mechanics analogy.

by @openstemUpdated Physics
🌀 Path integral:K = ∫Dx(t) e^(iS/ħ)Which limit / transformation?Only δS = 0 path survives:classical mechanicsZ = ∫Dx e^(−S_E/ħ):statistical mechanics partition functionħ → 0 (stationary phase)Wick rotation t → −iτ

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