Exact solution of the Dirac equation for a spin-1/2 charged particle in two-dimensional and three-dimensional Euclidean spaces with shape invariance symmetry

Authors
Fakhri, H Abbasi, N
Citation
H. Fakhri et N. Abbasi, Exact solution of the Dirac equation for a spin-1/2 charged particle in two-dimensional and three-dimensional Euclidean spaces with shape invariance symmetry, J MATH PHYS, 42(6), 2001, pp. 2416-2437
Citations number
18
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
42
Issue
6
Year of publication
2001
Pages
2416 - 2437
Database
ISI
SICI code
0022-2488(200106)42:6<2416:ESOTDE>2.0.ZU;2-I
Abstract
It is shown that two types of shape invariance with respect to quantum numb ers n and m lead us to solve Dirac equation for a spin-1/2 charged particle in two-dimensional and three-dimensional Euclidean spaces in the presence of magnetic fields. Also, we introduce supersymmetry algebra and shape inva riance symmetry represented by two bunches of spinors obtained from the abo ve solutions. (C) 2001 American Institute of Physics.