English

2D H-atom in an arbitrary magnetic field via pseudoperturbation expansions through the quantum number l

Mathematical Physics 2007-05-23 v1 math.MP

Abstract

The pseudoperturbative shifted-l expansion technique (PSLET) is introduced to determine nodeless states of the 2D Schrodinger equation with an arbitrary cylindrically symmetric potentials. Exact energy eigenvalues and eigenfunctions for the 2D Coulomb and harmonic oscillator potentials are reproduced. Moreover, exact energy eigenvalues, compared to those obtained by numerical solution [11], were obtained for the hybrid of the 2D Coulomb and oscillator potentials.

Keywords

Cite

@article{arxiv.math-ph/9910050,
  title  = {2D H-atom in an arbitrary magnetic field via pseudoperturbation expansions through the quantum number l},
  author = {Omar Mustafa and Maen Odeh},
  journal= {arXiv preprint arXiv:math-ph/9910050},
  year   = {2007}
}

Comments

22 pages, Latex file. To appear in Commun. Theor. Phys