Bound states for spiked harmonic oscillators and truncated Coulomb potentials

Abstract

We propose a new analytical method to solve for the nonexactly solvable Schrodinger equation. Successfully, it is applied to a class of spiked harmonic oscillators and truncated Coulomb potentials. The utility of this method could be extended to study other systems of atomic, molecular and nuclear physics interest.

18 page, Latex file

References in corpus (1)

• Perturbed Coulomb potentials in the Klein-Gordon equation via the shifted-1 expansion technique

Cited by in corpus (17)

• Calculation of the spiked harmonic oscillators through a generalized pseudospectral method
• PT symmetric pseudo-perturbation recipe; an imaginary cubic oscillator with spikes
• Energies and wave functions for a soft-core Coulomb potential
• Soft-core Coulomb potentials and Heun's differential equation
• Part of the D - dimensional Spiked harmonic oscillator spectra
• Energy bounds for a class of singular potentials and some related series
• Study of anharmonic singular potentials
• Quasi-exactly solvable relativistic soft-core Coulomb models
• Bound - states for truncated Coulomb potentials
• A basis for variational calculations in d dimensions
• Dirac eigenvalues for a softcore Coulomb potential in d dimensions
• Perturbation expansions for a class of singular potentials
• Reply to the Comment 'On large-N expansion'
• Magnetic fingerprints on the spectra of one-electron and two-electrons interacting in parabolic quantum dots
• Finite series representation for the bound states of a spiked isotropic oscillator with inverse-quartic singularity
• Energy levels of neutral atoms via a new perturbation method
• On spectroscopic structure of two interacting electrons in a quantum dot