Harmonic oscillator perturbed by a decreasing scalar potential View Full Text


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Article Info

DATE

2019-02-28

AUTHORS

Ilias Aarab, Mohamed Ali Tagmouti

ABSTRACT

In this paper we study the perturbation L=H+V, where H=-d2mdx2m+x2m on R, m∈N∗ and V is a decreasing scalar potential. Let λk be the kth eigenvalue of H. We suppose that the eigenvalues of L around λk can be written in the form λk+μk. The main result of the paper is an asymptotic formula for fluctuation {μk} which is given by a transformation of V. In the case m=1 we recover a result on the harmonic oscillator. More... »

PAGES

1-17

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11868-019-00284-4

DOI

http://dx.doi.org/10.1007/s11868-019-00284-4

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1112458923


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