BOUND-STATES OF A SPIN-(1) (2) CHARGED-PARTICLE IN A MAGNETIC-FLUX TUBE/

Authors
CAVALCANTI RM DECARVALHO CAA
Citation
Rm. Cavalcanti et Caa. Decarvalho, BOUND-STATES OF A SPIN-(1) (2) CHARGED-PARTICLE IN A MAGNETIC-FLUX TUBE/, Journal of physics. A, mathematical and general, 31(34), 1998, pp. 7061-7063
Citations number
8
Categorie Soggetti
Physics,"Physycs, Mathematical
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
31
Issue
34
Year of publication
1998
Pages
7061 - 7063
Database
ISI
SICI code
0305-4470(1998)31:34<7061:BOAS(C>2.0.ZU;2-Y
Abstract
We study a spin-1/2 charged particle with gyromagnetic factor g > 2 mo ving in a plane threaded by a magnetic flux tube. We prove that, if th e magnetic field (i) has radial symmetry, (ii) has compact support and (iii) does nor change sign, there is at least one bound state for eac h angular momentum l in the interval [0, v], where v (assumed positive ) is the total magnetic flux in units of the quantum of Bur.