Comment on “Path integrals in multiply connected spaces and the Aharonov-Bohm interference”
✍ Scribed by Chun-Fang Li
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 175 KB
- Volume
- 212
- Category
- Article
- ISSN
- 0921-4526
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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
We consider the canonical quantization (Schro dinger representation) on a doubly connected space 0 R #R 2 "[(x , y) | x 2 + y 2 R 2 ] (R>0). We show that, when we employ 2-dimensional orthogonal coordinates Ox 1 x 2 , there are uncountably many different self-adjoint extensions p U j of p j # &i  x
We shall establish in the context of adapted differential geometry on the path space P mo (M) a Weitzenböck formula which generalizes that in (A. B. Cruzeiro and P. Malliavin, J. Funct. Anal. 177 (2000), 219-253), without hypothesis on the Ricci tensor. The renormalized Ricci tensor will be vanished