A Fredholm determinant for semiclassical quantization.
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.
Cvitanovic
Predrag
P
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.
Rosenqvist
Per E.
PE
Vattay
Gabor
G
Rugh
Hans Henrik
HH