An Entire Spectral Determinant for Semiclassical Quantization
classification
chao-dyn
nlin.CD
keywords
tracederivedequationformulaapproximationclassicalcomputeddeterminant
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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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