The nonsingular spiked harmonic oscillator

DOI10.1063/1.530253zbMath0782.33002OpenAlexW2988539106MaRDI QIDQ4201665

Gentil A. Estévez-Bretón, Erika Sabrina Estévez-Bretón

Publication date: 5 September 1993

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

Full work available at URL: https://doi.org/10.1063/1.530253

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Gamma, beta and polygamma functions (33B15) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (6)

Spiked oscillators: exact solution ⋮ Calculation of the spiked harmonic oscillators through a generalized pseudospectral method ⋮ Spiked harmonic oscillators ⋮ Study of anharmonic singular potentials ⋮ Quasilinearization approach to computations with singular potentials ⋮ ASYMPTOTIC ITERATION METHOD FOR SINGULAR POTENTIALS

Cites Work

• Singular perturbation potentials
• The spiked harmonic oscillator \(V(r)= r^2+ r^{-4}\) as a challenge to perturbation theory
• Variational and perturbative schemes for a spiked harmonic oscillator
• The anharmonic oscillator -d²/dx²+x²+b/x⁴+c/x⁶for extreme values of the anharmonicity constants
• On the eigenvalues of the s-state radial equation of a spiked harmonic oscillator

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