An Entire Spectral Determinant for Semiclassical Quantization

Details An Entire Spectral Determinant for Semiclassical Quantization An Entire Spectral Determinant for Semiclassical Quantization

1993-11-19

arxiv.org/abs/chao-dyn/9311004v1

Prog. Theor. Phys. Suppl. 116, 251 (1994)

Nonlinear Sciences

Chaotic Dynamics

8 pages, latex, no figure

Scientific paper

10.1143/PTPS.116.251

We show that the eigenvalues of the first order partial differential equation
derived by quasi-classical approximation of the Schr\"odinger 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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