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Semiclassical trace formulae using coherent states

B. Mehlig·M. Wilkinson
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Abstract

We derive semiclassical trace formulae including Gutzwiller's trace formula using coherent states. This formulation has several advantages over the usual coordinate-space formulation. Using a coherent-state basis makes it immediately obvious that classical periodic orbits make separate contributions to the trace of the quantum-mechanical time evolution operator. In addition, our approach is manifestly canonically invariant at all stages, and leads to the simplest possible derivation of Gutzwiller's formula.

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B. Mehlig, M. Wilkinson. 2000-12-04. Semiclassical trace formulae using coherent states. https://doi.org/10.1002/1521-3889(200106)10%3A6%2F7%3C541%3A%3Aaid-andp541%3E3.0.co%3B2-a

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