Gutzwiller trace formula on integrable SHO: periodic-orbit action S(E) = 2piE/omega via action-angle

Layer 1 — Physicsin the quantum-chaos subtree

Gutzwiller periodic-orbit trace formula on the integrable harmonic-oscillator limit. Setup: the semiclassical density of states is written as a sum over classical periodic orbits gamma, rho(E) = rho_bar(E) + sum_gamma A_gamma…

Related concepts

Action-angle coordinates
Theorem: SHO period-energy invariant T(E) * omega = 2*pi (exact for all E > 0)

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