Bound states for spiked harmonic oscillators and truncated Coulomb potentials

1999/01/01 by Omar Mustafa, Maen Odeh · 3 citations
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #math-ph #math.MP

paper · pdf · doi:10.1088/0953-4075/32/12/321

published as J. Phys. B 32 (1999) 3055-3063 · 18 page, Latex file

openalex publication_date 1999/01/01 · arxiv created 1999/10/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We propose a new analytical method to solve for the nonexactly solvable Schrödinger 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.

Citations

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

Cited by

• Calculation of the spiked harmonic oscillators through a generalized pseudospectral method
• PT-symmetric pseudo-perturbation recipe: an imaginary cubic oscillator with spikes
• Perturbation expansions for a class of singular potentials