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Path Integral Solution of the Aharonov–Bohm–Dyon System via Summing the Perturbation Expansions

✍ Scribed by De-Hone Lin

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 78 KB
Volume: 290
Category: Article
ISSN: 0003-4916
DOI: 10.1006/aphy.2001.6113

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✦ Synopsis

The exact path integral solution of the relativistic Aharonov-Bohm-Dyon system is obtained by summing the perturbation series of a path integral for the relativistic systems. Different from an earlier treatment by the author (2000, Ann. Phys. (N.Y.) 282, 270) based on the famous space-time transformation and complicated infinite multiple-valued transformation of Kustaanheimo and Stiefel in order to perform the path integral, the procedure developed in this contribution involves only the explicit form of a simple Green's function and an explicit path integral is avoided.

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