Variational estimates of the energies for the potential \(x^2+\lambda x^2/(1+gx^2)\)

DOI10.1016/0375-9601(95)00271-4zbMath1020.81575OpenAlexW1481990955MaRDI QIDQ1965593

Marcie Gornstein, Calvin Stubbins

Publication date: 8 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(95)00271-4

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Software, source code, etc. for problems pertaining to quantum theory (81-04)

Related Items (2)

Double exponential sinc-collocation method for solving the energy eigenvalues of harmonic oscillators perturbed by a rational function ⋮ Comparison theorems for the eigenvalue gap of Schrödinger operators on the real line

Cites Work

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• Interaction \(\lambda x^ 2_ 1+gx^ 2\) revisited
• Some solutions of a supersymmetric nonpolynomial oscillator-a comparison between the SWKB and WKB methods
• High-precision calculation of the eigenvalues for the x²+λx²/(1+gx²) potential
• Potential r²+λr²/(1+gr²) and the analytic continued fractions
• On the analytic structure of the wave function for a hydrogen atom in an analytic potential
• A finite difference approach for the calculation of perturbed oscillator energies
• On the interaction of the type λx2/(1+g x2)
• On the Schrodinger equation for the interaction x²+ λx²/(1+gx²)
• On the Schrodinger equation for the interaction x²+ λx²/(1+gx²)

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