title: A Fredholm determinant for semiclassical quantization.
abstract: We investigate a new type of approximation to quantum determinants, the "quantum Fredholm determinant," and test numerically the conjecture that for Axiom A hyperbolic flows such determinants have a larger domain of analyticity and better convergence than the Gutzwiller-Voros zeta functions derived from the Gutzwiller trace formula. 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.
authors.affiliation: Niels Bohr Institute, Blegdamsvej 17, DK-2100 Copenhagen O, DenmarkUnite de Mathematiques Pures et Appliquees, Ecole Normale Superieure de Lyon 46, Allee d'Italie, F-69364 Lyon, France.
authors.forename: Predrag
authors.initials: P
authors.lastname: Cvitanovic
authors.forename: Per E.
authors.initials: PE
authors.lastname: Rosenqvist
authors.forename: Gabor
authors.initials: G
authors.lastname: Vattay
authors.forename: Hans Henrik
authors.initials: HH
authors.lastname: Rugh