A Fredholm Determinant for Semi-classical Quantization
Predrag Cvitanović, Per E. Rosenqvist, Gábor Vattay, Hans Henrik Rugh
Abstract
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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