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

Authors
Mustafa, O Odeh, M
Citation
O. Mustafa et M. Odeh, 2D H-atom in an arbitrary magnetic field via pseudoperturbation expansionsthrough the quantum number l, COMM TH PHY, 33(3), 2000, pp. 469-476
Citations number
15
Categorie Soggetti
Physics
Journal title
COMMUNICATIONS IN THEORETICAL PHYSICS
ISSN journal
02536102 → ACNP
Volume
33
Issue
3
Year of publication
2000
Pages
469 - 476
Database
ISI
SICI code
0253-6102(20000430)33:3<469:2HIAAM>2.0.ZU;2-6
Abstract
The pseudoperturbative shifted-l expansion technique is introduced to deter mine nodeless states of the 2D Schrodinger equation with arbitrary cylindri cally symmetric potentials. Exact energy eigenvalues and eigenfunctions for the 2D Coulomb and harmonic oscillator potentials are reproduced. Moreover , exact energy eigenvalues, compared with those obtained by numerical solut ion (V.M. Villalba and R. Pine, J. Phys.: Condens. Matter 8 (1996) 8067), w ere obtained for the hybrid of the 2D Coulomb and oscillator potentials.