Asymptotic eigenvalue degeneracy for a class of one-dimensional Fokker–Planck operators

DOI10.1063/1.526607zbMath0569.47017OpenAlexW4237216274MaRDI QIDQ3687264

A. Angeletti, Cinzia Castagnari, Francesco Zirilli

Publication date: 1985

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526607

zbMATH Keywords

singular perturbationsspectrumFokker-Planck operatorspectrum of three decoupled harmonic oscillators

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) General theory of ordinary differential operators (47E05)

Related Items (3)

A note on the eigenvalues of the Hamiltonian of the harmonic oscillator perturbed by the potential \(\lambda x^2/(1+gx^2)\) ⋮ Asymptotic eigenvalue degeneracy for a class of three-dimensional Fokker–Planck operators ⋮ Global optimization and stochastic differential equations

Cites Work

• Double wells
• On the rate of asymptotic eigenvalue degeneracy
• Singular Perturbation Methods in Stochastic Differential Equations of Mathematical Physics
• Eigenvalues of the Fokker–Planck Operator and the Approach to Equilibrium for Diffusions in Potential Fields
• Singular perturbations and asymptotic eigenvalue degeneracy
• The eigenvalues and eigenfunctions of a spherically symmetric anharmonic oscillator

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