A Fredholm determinant for semiclassical quantization

被引：32

作者：

Cvitanovic, Predrag ^{[1
]}

Rosenqvist, Per E. ^{[1
]}

Vattay, Gabor ^{[1
]}

Rugh, Hans Henrik ^{[2
]}

机构：

[1] Niels Bohr Inst, DK-2100 Copenhagen O, Denmark

[2] Ecole Normale Super Lyon, Unite Math Pures & Appl, F-69364 Lyon, France

来源：

CHAOS | 1993年 / 3卷 / 04期

关键词：

D O I：

10.1063/1.165992

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：619 / 636

页数：18

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