A New Determinant for Quantum Chaos

Details A New Determinant for Quantum Chaos A New Determinant for Quantum Chaos

1993-04-12

arxiv.org/abs/chao-dyn/9304003v1

Nonlinear Sciences

Chaotic Dynamics

Contribution to the proceedings of the International School for Advanced Studies workshop ``From Classical to Quantum Chaos",

Scientific paper

We propose a new type of approximation to quantum determinants, ``quantum Fredholm determinant", and conjecture that, compared to the quantum Selberg zeta functions derived from Gutzwiller semiclassical trace formulas, such determinants have a larger domain of analyticity for Axiom A hyperbolic systems. The conjecture is supported by a numerical investigation of the 3-disk repeller.

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