A Fredholm Determinant for Semi-classical Quantization

Predrag Cvitanović; Per E. Rosenqvist; Gábor Vattay; Hans Henrik Rugh

doi:10.1063/1.165992

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arXiv · chao-dyn/9307014

A Fredholm Determinant for Semi-classical Quantization

Predrag Cvitanović·Per E. Rosenqvist·Gábor Vattay·Hans Henrik Rugh

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Abstract

We investigate a new type of approximation to quantum determinants, the ``\qFd", and test numerically the conjecture that for Axiom A hyperbolic flows such determinants have a larger domain of analyticity and better convergence than the \qS s derived from the \Gt. The conjecture is supported by numerical investigations of the 3-disk repeller, a normal-form model of a flow, and a model 2-$d$ map.

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Predrag Cvitanović, Per E. Rosenqvist, Gábor Vattay, Hans Henrik Rugh. 1993-07-26. A Fredholm Determinant for Semi-classical Quantization. https://doi.org/10.1063/1.165992

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