A Fredholm Determinant for Semi-classical Quantization

Details A Fredholm Determinant for Semi-classical Quantization A Fredholm Determinant for Semi-classical Quantization

1993-07-26

arxiv.org/abs/chao-dyn/9307014v1

CHAOS 3 (4), 619 (1993)

Nonlinear Sciences

Chaotic Dynamics

Revtex, Ask for figures from vattay@nbivax.nbi.dk

Scientific paper

10.1063/1.165992

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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