On the eigenvalues of the Hamiltonian of the harmonic oscillator with the interaction \(\lambda x^2/(1+gx^2)\). II

DOI10.1016/S0034-4877(97)81472-3zbMath0901.34084MaRDI QIDQ1373701

Gabriele Inglese, Silvestro Fassari

Publication date: 17 December 1997

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

harmonic oscillatorattractive \(\delta\)-type interactioneigenenergies of the operator

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items

The quantum harmonic oscillator on the sphere and the hyperbolic plane, Double exponential sinc-collocation method for solving the energy eigenvalues of harmonic oscillators perturbed by a rational function

Cites Work

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• A note on the eigenvalues of the Hamiltonian of the harmonic oscillator perturbed by the potential \(\lambda x^2/(1+gx^2)\)
• On the interaction of the type λx2/(1+g x2)