Asymptotic expansion for the eigenvalues of a perturbed anharmonic oscillator
Functional Analysis
2019-02-13 v1 Analysis of PDEs
Abstract
In this article, we study the spectral properties of the perturbation of the generalized anharmonic oscillator. We consider a piecewise H\"older continuous perturbation and investigate how the H\"older constant can affect the eigenvalues. More precisely, we derive several first terms in the asymptotic expansion for the eigenvalues.
Keywords
Cite
@article{arxiv.1902.04545,
title = {Asymptotic expansion for the eigenvalues of a perturbed anharmonic oscillator},
author = {Ksenia Fedosova and Medet Nursultanov},
journal= {arXiv preprint arXiv:1902.04545},
year = {2019}
}
Comments
19 pages