Convergent perturbation theory for a q-deformed anharmonic oscillator

被引：0

作者：

Dick R. ^{[1
]}

Pollok-Narayanan A. ^{[1
,2
]}

Steinacker H. ^{[1
]}

Wess J. ^{[1
,2
]}

机构：

[1] Sektion Physik der Ludwig-M., D-80333 München

[2] Max-Planck-Institut für Physik, D-80805 München

来源：

The European Physical Journal C - Particles and Fields | 1999年 / 7卷 / 2期

关键词：

Quantum Mechanic; Perturbation Theory; Perturbation Series; Anharmonic Oscillator; Exact Eigenstates;

D O I：

10.1007/s100529801003

中图分类号：

学科分类号：

摘要：

A q-deformed anharmonic oscillator is defined within the framework of q-deformed quantum mechanics. It is shown that the Rayleigh-Schrödinger perturbation series for the bounded spectrum converges to exact eigenstates and eigenvalues, for q close to 1. The radius of convergence becomes zero in the undeformed limit.

引用

页码：363 / 368

页数：5

共 15 条

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