Path integral solution of the Aharonov-Bohm-Dyon system via summing the perturbation expansions

Authors
Citation
Dh. Lin, Path integral solution of the Aharonov-Bohm-Dyon system via summing the perturbation expansions, ANN PHYSICS, 290(1), 2001, pp. 1-10
Citations number
16
Categorie Soggetti
Physics
Journal title
ANNALS OF PHYSICS
ISSN journal
00034916 → ACNP
Volume
290
Issue
1
Year of publication
2001
Pages
1 - 10
Database
ISI
SICI code
0003-4916(20010525)290:1<1:PISOTA>2.0.ZU;2-I
Abstract
The tract path integral solution of the relativistic Aharonov-Bohm-Dyon sys tem is obtained by summing the perturbation series of a path integral for t he relativistic systems. Different from an earlier treatment by the author (2000, Ann. Phys. (N.Y.) 282, 270) based on the famous space-time transform ation and complicated infinite multiple-valued transformation of Kustaanhei mo and Stiefel in order to perform the path integral, the procedure develop ed in this contribution involves: only the explicit form of a simple Green' s function and an explicit path integral is avoided. (C) 2001 Academic Pres s.