MONTE-CARLO EVALUATION OF THE AHARONOV-BOHM EFFECT

Authors
JOHN GC SINGH VA
Citation
Gc. John et Va. Singh, MONTE-CARLO EVALUATION OF THE AHARONOV-BOHM EFFECT, International journal of modern physics C, 6(1), 1995, pp. 67-76
Citations number
32
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical","Computer Science Interdisciplinary Applications
Journal title
International journal of modern physics C → ACNP
ISSN journal
01291831
Volume
6
Issue
1
Year of publication
1995
Pages
67 - 76
Database
ISI
SICI code
0129-1831(1995)6:1<67:MEOTAE>2.0.ZU;2-G
Abstract
The electron propagator in the Aharonov-Bohm effect is investigated us ing the Feynman path integral formalism. The calculation of the propag ator is effected using a variation of the Metropolis Monte Carlo algor ithm. Unlike ''exact'' calculations, our approach permits us to includ e a nonvanishing solenoid radius. We investigate the dependence of the resulting interference pattern on the magnetic field as well as the s olenoid radius. Our results agree with the exact case in the limit of an infinitesimally small solenoid radius.