High energy asymptotics for the perturbed anharmonic oscillator

DOI10.1080/17476933.2021.1998012OpenAlexW3212662904MaRDI QIDQ5883935

Medet Nursultanov, Ksenia Fedosova

Publication date: 17 March 2023

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.04545

zbMATH Keywords

quantum theoryperturbationhigh energyfield theory

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Cites Work

• Computing energy eigenvalues of anharmonic oscillators using the double exponential sinc collocation method
• High energy asymptotics and trace formulas for the perturbed harmonic oscillator
• Asymptotique des niveaux d'energie pour des Hamiltoniens à un degré de liberte
• Asymptotic expansion of the heat kernel trace of Laplacians with polynomial potentials
• Weakly harmonic oscillators perturbed by a conservative noise
• Perturbation theory for linear operators.
• On a class of anharmonic oscillators
• Eigenfunction expansions associated with the Schrödinger operators and their applications to scattering theory
• On the representation of the potential scattering operator in quantum mechanics
• Spectral asymptotics of the harmonic oscillator perturbed by bounded potentials
• Lower bounds for non-classical eigenvalue problems
• Asymptotic inverse spectral problem for anharmonic oscillators with odd potentials
• Higher dimensional nonclassical eigenvalue asymptotics
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