An Entire Spectral Determinant for Semiclassical Quantization

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.

8 pages, latex, no figure

References in corpus (1)

• Entire Fredholm determinants for Evaluation of Semi-classical and Thermodynamical Spectra

Cited by in corpus (3)

• Chaotic Scattering Theory, Thermodynamic Formalism, and Transport Coefficients
• Chaotic Properties of Dilute Two and Three Dimensional Random Lorentz Gases I: Equilibrium Systems
• Hamilton-Jacobi Formulation of KS Entropy for Classical and Quantum Dynamics