High energy asymptotics for the perturbed anharmonic oscillator
Journal article, 2023
In this article, we study the spectral properties of the perturbation of the generalized anharmonic oscillator. We consider a piecewise Holder continuous perturbation and investigate how the Holder constant can affect the eigenvalues. More precisely, we derive several first terms in the asymptotic expansion for the eigenvalues.
High energy
perturbation
field theory
quantum theory
Author
Ksenia Fedosova
University of Freiburg
Medet Nursultanov
Chalmers, Mathematical Sciences, Analysis and Probability Theory
University of Gothenburg
University of Helsinki
Complex Variables and Elliptic Equations
1747-6933 (ISSN) 1747-6941 (eISSN)
Vol. 68 3 385-404Subject Categories
Probability Theory and Statistics
Discrete Mathematics
Mathematical Analysis
DOI
10.1080/17476933.2021.1998012