𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Path Integral Quantization of the Aharonov–Bohm–Coulomb System in Momentum Space

✍ Scribed by De-Hone Lin

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
65 KB
Volume
292
Category
Article
ISSN
0003-4916

No coin nor oath required. For personal study only.

✦ Synopsis

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 provides the second example to answer an open problem of quantum dynamics in curved spaces posed by DeWitt in 1957: We find that the physical Hamiltonian in curved spaces does not contain the Riemannian scalar curvature R.

📜 SIMILAR VOLUMES

Path Integral Solution of the Aharonov–B
Path Integral Solution of the Aharonov–Bohm–Dyon System
✍ De-Hone Lin 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 147 KB

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. Th

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