Calculation of the spiked harmonic oscillators through a generalized pseudospectral method

DOI10.1016/j.physleta.2003.12.037zbMath1118.81432arXiv1307.1263OpenAlexW1969306190MaRDI QIDQ2383309

Amlan K. Roy

Publication date: 8 October 2007

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

Full work available at URL: https://arxiv.org/abs/1307.1263

zbMATH Keywords

pseudospectral methodsbound statesSpiked oscillators

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Computational methods for problems pertaining to quantum theory (81-08)

Related Items (7)

Spiked oscillators: exact solution ⋮ The effect of tensor interaction in splitting the energy levels of relativistic systems ⋮ Accurate calculation of the bound states of Hellmann potential ⋮ Spectroscopic study of some diatomic molecules via the proper quantization rule ⋮ Ground and excited states of spherically symmetric potentials through an imaginary-time evolution method: application to spiked harmonic oscillators ⋮ Study of anharmonic singular potentials ⋮ Coherent states of the inverted Caldirola-Kanai oscillator with time-dependent singularities

Cites Work

• Singular perturbation potentials
• WKB and exact wave functions for inverse power-law potentials
• Generalized spiked harmonic oscillator
• Continued fractions and the potential models of confinement-reply to a comment
• Variational and perturbative schemes for a spiked harmonic oscillator
• On the eigenvalues of the s-state radial equation of a spiked harmonic oscillator
• Large-order perturbation expansions for the charged harmonic oscillator
• The nonsingular spiked harmonic oscillator
• Study of the singular anharmonic potentials by means of the analytic continuation method
• Energy bounds for a class of singular potentials and some related series
• Variational analysis for a generalized spiked harmonic oscillator
• Part of theD-dimensional spiked harmonic oscillator spectra
• Matrix elements for a generalized spiked harmonic oscillator
• Eigenvalue bounds for a class of singular potentials
• A simple numerical method for singular potentials

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