High Energy Asymptotics and Trace Formulas for the Perturbed Harmonic Oscillator

被引：0

作者：

Alexander Pushnitski

Ian Sorrell

机构：

[1] Caltech,Department of Mathematics 253

[2] Loughborough University,37

来源：

Annales Henri Poincaré | 2006年 / 7卷

关键词：

Dynamical System; Field Theory; Elementary Particle; Quantum Field Theory; Mathematical Method;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A one-dimensional quantum harmonic oscillator perturbed by a smooth compactly supported potential is considered. For the corresponding eigenvalues λn, a complete asymptotic expansion for large n is obtained, and the coefficients of this expansion are expressed in terms of the heat invariants. A sequence of trace formulas is obtained, expressing regularized sums of integer powers of eigenvalues λn in terms of the heat invariants.

引用

页码：381 / 396

页数：15