A New Determinant for Quantum Chaos
classification
chao-dyn
nlin.CD
keywords
quantumconjecturedeterminantdeterminantsanalyticityapproximationaxiomchaos
read the original abstract
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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