2D Hatom in an arbitrary magnetic field via pseudoperturbation expansions through the quantum number l
Abstract
The pseudoperturbative shiftedl 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.
 Publication:

arXiv eprints
 Pub Date:
 November 1999
 arXiv:
 arXiv:mathph/9910050
 Bibcode:
 1999math.ph..10050M
 Keywords:

 Mathematical Physics;
 Mathematics  Mathematical Physics
 EPrint:
 22 pages, Latex file. To appear in Commun. Theor. Phys