Trace Formulas and Bogomolny's Transfer Operator

Details Trace Formulas and Bogomolny's Transfer Operator Trace Formulas and Bogomolny's Transfer Operator

1999-02-23

arxiv.org/abs/chao-dyn/9902019v1

Physica E, v. 9, p. 564 (2001)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, 3 eps figures

Scientific paper

10.1016/S1386-9477(00)00263-0

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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