𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Path Integral Solution of the Aharonov–Bohm–Dyon System

✍ Scribed by De-Hone Lin

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
147 KB
Volume
282
Category
Article
ISSN
0003-4916

No coin nor oath required. For personal study only.

✦ Synopsis

An exact path integral solution for a relativistic particle with both electric and magnetic charges (e 1 , q 1 ) moving in the fields created by a flux tube along the z-axis and a particle with charges (e 2 , q 2 ) located at the origin, i.e., the relativistic Aharonov Bohm Dyon system, is given. The solutions of interesting special cases, Aharonov Bohm Coulomb, Aharonov Bohm Monopole, and Aharonov Bohm, are discussed.

📜 SIMILAR VOLUMES

Path Integral Solution of the Aharonov–B
Path Integral Solution of the Aharonov–Bohm–Dyon System via Summing the Perturbation Expansions
✍ De-Hone Lin 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 78 KB

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 transform

Path Integral Quantization of the Aharon
Path Integral Quantization of the Aharonov–Bohm–Coulomb System in Momentum Space
✍ De-Hone Lin 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 65 KB

The Coulomb system with a charge moving in the fields of Ahanorov and Bohm is quantized via path integral in momentum space. Due to the dynamics of the system in momentum space being in curve space, our result not only gives the Green function of this interesting system in momentum space but provide