Convergent Perturbation Theory for a q-deformed Anharmonic Oscillator
Quantum Algebra
2014-09-11 v1 High Energy Physics - Theory
Abstract
A --deformed anharmonic oscillator is defined within the framework of --deformed quantum mechanics. It is shown that the Rayleigh--Schr\"odinger perturbation series for the bounded spectrum converges to exact eigenstates and eigenvalues, for close to 1. The radius of convergence becomes zero in the undeformed limit.
Cite
@article{arxiv.math/9808024,
title = {Convergent Perturbation Theory for a q-deformed Anharmonic Oscillator},
author = {Rainer Dick and Andrea Pollok-Narayanan and Harold Steinacker and Julius Wess},
journal= {arXiv preprint arXiv:math/9808024},
year = {2014}
}
Comments
14 pages, 2 figure using epsf