Eigenvalues and eigenfunctions for the ground state of polynomial potentials

DOI10.1016/J.PHYSLETA.2006.10.042zbMath1197.81117OpenAlexW1995487527WikidataQ66691498 ScholiaQ66691498MaRDI QIDQ601428

Sumit K. Garg

Publication date: 28 October 2010

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2006.10.042

zbMATH Keywords

eigenvalueseigenfunctionsanharmonic oscillatorsdocument polynomial potentialsquasi-rational approximants

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (1)

On some polynomial potentials in d-dimensions

Cites Work

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• The asymptotic iteration method for the eigenenergies of the anharmonic oscillator potential \(V(x)=Ax^{2\alpha} +Bx^2\)
• Approximate analytical states of a polynomial potential: an example of symmetry restoration
• Quasi-exactly-solvable problems and sl(2) algebra
• Anharmonic oscillator and double-well potential: Approximating eigenfunctions
• Fifty years of eigenvalue perturbation theory
• Two-point quasifractional approximant in physics: Method improvement and application to Jν(x)
• Eigenvalues of the Schrödinger equation with Coulomb potentials plus linear and harmonic radial terms

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