Multiparameter averaging and inverse spectral problem for anharmonic oscillators in \(\mathbb{R}{}^ n\)

DOI10.1016/0898-1221(91)90133-OzbMath0756.35115WikidataQ61675407 ScholiaQ61675407MaRDI QIDQ1178536

David Gurarie

Publication date: 26 June 1992

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

spectral shiftsperturbation of an \(n-D\) harmonic oscillator

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Related Items (1)

The Jordan form of a bitriangular operator

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Inverse spectral problem for the 2-sphere Schrödinger operators with zonal potentials
• Band invariants and closed trajectories on \(S^ n\)
• Asymptotic inverse spectral problem for anharmonic oscillators
• Some spectral results for the Laplace operator with potential on the n- sphere
• The spectral class of the quantum-mechanical harmonic oscillator
• The spectrum of positive elliptic operators and periodic bicharacteristics
• Asymptotics of eigenvalue clusters for the Laplacian plus a potential
• Inverse spectral theory for a singular Sturm-Liouville operator on \([0,1\)]
• Zonal Schrödinger operators on the \(n\)-sphere: Inverse spectral problem and rigidity
• Formule de Poisson pour les variétés riemanniennes
• A symbol calculus for a class of pseudodifferential operators on \(S^ n\) and band asymptotics
• The inverse Sturm–Liouville problem. II
• 2-sphere Schrodinger operators with odd potentials
• Asymptotic inverse spectral problem for anharmonic oscillators with odd potentials

This page was built for publication: Multiparameter averaging and inverse spectral problem for anharmonic oscillators in \(\mathbb{R}{}^ n\)