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arXiv 1993-07-26 DOI 10.1063/1.165992 0 views

A Fredholm Determinant for Semi-classical Quantization

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

Original · EN

We investigate a new type of approximation to quantum determinants, the ``", and test numerically the conjecture that for Axiom A hyperbolic flows such determinants have a larger domain of analyticity and better convergence than the s derived from the. 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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