An Entire Spectral Determinant for Semiclassical Quantization

Gabor Vattay

doi:10.1143/ptps.116.251

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An Entire Spectral Determinant for Semiclassical Quantization

Gabor Vattay

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Abstract

We show that the eigenvalues of the first order partial differential equation derived by quasi-classical approximation of the Schrödinger equation can be computed from the trace of a classical operator. The derived trace formula is different from the Gutzwiller trace formula.

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Gabor Vattay. 1993-11-19. An Entire Spectral Determinant for Semiclassical Quantization. https://doi.org/10.1143/ptps.116.251

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