A Fredholm determinant for semiclassical quantization
WoS ID: 000208308700019
Scopus ID: 0001325421
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.