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

DOI10.1088/0305-4470/25/11/041zbMath0757.34069OpenAlexW1993307799MaRDI QIDQ4022390

Gerrit C. Groenenboom, Wilfrido Solano-Torres, G. A. Estévez, Franciso M. Fernández

Publication date: 17 January 1993

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

Full work available at URL: https://doi.org/10.1088/0305-4470/25/11/041

zbMATH Keywords

eigenvaluesground stateradial Schrödinger equationLanczos/grid techniquespiked harmonic-oscillator potentialspiked singular potentialstandard Padé approximants

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Dispersion theory, dispersion relations arising in quantum theory (81U30) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (13)

Spiked oscillators: exact solution ⋮ Variational spiked oscillator ⋮ Calculation of the spiked harmonic oscillators through a generalized pseudospectral method ⋮ Spiked Harmonic Oscillator: N^-1 Expansion ⋮ Spiked harmonic oscillators ⋮ On the traversal time of barriers ⋮ Ground and excited states of spherically symmetric potentials through an imaginary-time evolution method: application to spiked harmonic oscillators ⋮ Vibrational-rotational analysis of supersingular plus quadratic \(A/r^ 4+r^ 2\) potential ⋮ Study of anharmonic singular potentials ⋮ Quasilinearization approach to computations with singular potentials ⋮ Accurate analytic presentation of solution for the spiked harmonic oscillator problem ⋮ The nonsingular spiked harmonic oscillator ⋮ Analogous of Hartman effect for relativistic particles through ``transparent barrier

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