Large coupling behavior of the energy eigenvalues of two anharmonic oscillators

DOI10.1063/1.525885zbMath0533.70021OpenAlexW2028122675MaRDI QIDQ3316641

David Isaacson

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1063/1.525885

zbMATH Keywords

eigenvalueprincipal curvaturescoupled anharmonic oscillatorsbehaviour of the energy levelscoupling constant tends to infinitydegenerate perturbation methodexpanding potential about each of four minima

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Nonlinear dynamics in mechanics (70K99) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Cites Work

• The critical behavior of \(\varphi^4_1\)
• On the rate of asymptotic eigenvalue degeneracy
• Numerical Analysis of the Spectral Properties of Coupled Oscillator Schrödinger Operators. II. Two-Coupled Anharmonic Oscillators
• Singular perturbations and asymptotic eigenvalue degeneracy

This page was built for publication: Large coupling behavior of the energy eigenvalues of two anharmonic oscillators