Spiked Harmonic Oscillator: N-1 Expansion

DOI10.1142/S0217979203018612zbMath1073.81555MaRDI QIDQ5312157

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Publication date: 30 August 2005

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Mathematics Subject Classification ID

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

Cites Work

• Vibrational-rotational analysis of supersingular plus quadratic \(A/r^ 4+r^ 2\) potential
• Quadratic forms and Klauder's phenomenon: A remark on very singular perturbations
• Singular perturbation potentials
• The spiked harmonic oscillator \(V(r)= r^2+ r^{-4}\) as a challenge to perturbation theory
• Generalized spiked harmonic oscillator
• Singular anharmonicities and the analytic continued fractions. II. The potentials V(r)=a r2+b r−4+c r−6
• 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
• Large-order perturbation expansions for the charged harmonic oscillator
• Nonperturbative treatment of singular potentials
• Study of the singular anharmonic potentials by means of the analytic continuation method
• Variational analysis for a generalized spiked harmonic oscillator
• A simple numerical method for singular potentials
• Perturbed factorization of the singular anharmonic-oscillator eigenequation

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