Trace Formulas and Bogomolny's Transfer Operator

Oleg Zaitsev , R. Narevich , R. E. Prange (Department of Physics , University of Maryland , College Park , Maryland)

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classification chao-dyn cond-mat.mes-hallnlin.CD

keywords formulaformulasberry-taborbogomolnyoperatortracetransfercase

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The trace formulas commonly used in discussing spectral properties of quantum or wave systems are derived simply and directly from the Bogomolny transfer operator. Special cases are the Gutzwiller formula, the Berry-Tabor formula, and the perturbed Berry-Tabor formula. A comment is made about interpolation formulas proposed in the latter case.

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Trace Formulas and Bogomolny's Transfer Operator

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