Applications of the differentiability of eigenvectors and eigenvalues to a perturbed harmonic oscillator

DOI10.1063/1.528845zbMath0726.34066OpenAlexW2031336029MaRDI QIDQ3348351

Evangelos K. Ifantis, Panagiotis N. Panagopoulos

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528845

zbMATH Keywords

perturbed harmonic oscillatorNumerical resultsestimation of the first eigenvalue

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Cites Work

• Interaction \(\lambda x^ 2_ 1+gx^ 2\) revisited
• A theorem concerning differentiability of eigenvectors and eigenvales with some applications
• On the interaction of the type λx2/(1+g x2)
• On the Schrodinger equation for the interaction x²+ λx²/(1+gx²)

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