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Study of anharmonic singular potentials (Q3024202)

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Language	Label	Description	Also known as
English	Study of anharmonic singular potentials	scientific article

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scholarly article

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Study of anharmonic singular potentials (English)

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zbMATH Open document ID

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10.1063/1.1836014

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Richard L. Hall

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Qutaibeh D. Katatbeh

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Journal of Mathematical Physics

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publication date

30 June 2005

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full work available at URL

https://arxiv.org/abs/math-ph/0410039

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Mathematics Subject Classification ID

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zbMATH DE Number

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MaRDI profile type

MaRDI publication profile

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math-ph/0410039

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Singular Potentials

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Exact Solution of the Schrödinger Equation for Inverse Fourth-Power Potential

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Quadratic forms and Klauder's phenomenon: A remark on very singular perturbations

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Singular perturbation potentials

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Variational and perturbative schemes for a spiked harmonic oscillator

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Large-order perturbation expansions for the charged harmonic oscillator

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On the eigenvalues of the s-state radial equation of a spiked harmonic oscillator

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On the elementary Schrödinger bound states and their multiplets

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The spiked harmonic oscillator \(V(r)= r^2+ r^{-4}\) as a challenge to perturbation theory

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Nonperturbative treatment of singular potentials

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Spiked and screened oscillators \(V(r)= Ar^2+ B/r^2+ C/r^4+ D/r^6+ F/(1+Gr)^2\) and their elementary bound sates

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The nonsingular spiked harmonic oscillator

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The harmonic oscillator with λ<i>x</i><sup><i>M</i></sup>perturbation

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A simple numerical method for singular potentials

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Part of the<i>D</i>-dimensional spiked harmonic oscillator spectra

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Spiked harmonic oscillators

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Matrix elements for a generalized spiked harmonic oscillator

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Variational analysis for a generalized spiked harmonic oscillator

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Generalized spiked harmonic oscillator

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Energy bounds for a class of singular potentials and some related series

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Ultraviolet divergence and scaling in a class of singular potentials

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Calculation of the spiked harmonic oscillators through a generalized pseudospectral method

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Singular anharmonicities and the analytic continued fractions. II. The potentials <i>V</i>(<i>r</i>)=<i>a</i> <i>r</i>2+<i>b</i> <i>r</i>−4+<i>c</i> <i>r</i>−6

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Elementary bound states for the power-law potentials

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Study of the singular anharmonic potentials by means of the analytic continuation method

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Quantum mechanics of noncentral harmonic and anharmonic potentials in two-dimensions

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The anharmonic oscillator -d<sup>2</sup>/dx<sup>2</sup>+x<sup>2</sup>+b/x<sup>4</sup>+c/x<sup>6</sup>for extreme values of the anharmonicity constants

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Exact solutions to the Schrödinger equation for the potential in two dimensions

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The Low Energy Scattering of Positrons by Hydrogen Atoms

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Supersymmetry and the relationship between a class of singular potentials in arbitrary dimensions

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Mathematics(1 entry)

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