Convergent Perturbation Theory for a q-deformed Anharmonic Oscillator
arXiv:math/9808024 · doi:10.1007/s100529801003
Abstract
A --deformed anharmonic oscillator is defined within the framework of --deformed quantum mechanics. It is shown that the Rayleigh--Schrödinger 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.
14 pages, 2 figure using epsf