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arXiv · 1902.04545

Asymptotic expansion for the eigenvalues of a perturbed anharmonic oscillator

Ksenia Fedosova·Medet Nursultanov
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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.

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Ksenia Fedosova, Medet Nursultanov. 2019-02-12. Asymptotic expansion for the eigenvalues of a perturbed anharmonic oscillator. https://arxiv.org/abs/1902.04545

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