The propagator in the generalized Aharonov–Bohm effect
- 1 May 1988
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 29 (5) , 1154-1157
- https://doi.org/10.1063/1.527957
Abstract
The nonrelativistic propagator is derived by formulating the generalized Aharonov–Bohm effect, valid for any gauge group in a general multiply connected manifold, as a gauge artifact in the universal covering space. The loop phase factors and the free homotopy propagators arise naturally. An explicit expression for the propagator when there are two solenoids present is given.Keywords
This publication has 10 references indexed in Scilit:
- Non-Abelian Aharonov–Bohm effects, Feynman paths, and topologyJournal of Mathematical Physics, 1986
- Non-Abelian Aharonov-Bohm effectPhysical Review D, 1986
- A non-Abelian Aharonov-Bohm effect in the framework of pseudoclassical mechanicsJournal of Physics A: General Physics, 1985
- Path integrals with a periodic constraint: The Aharonov–Bohm effectJournal of Mathematical Physics, 1981
- Magnetic monopoles in gauge field theoriesReports on Progress in Physics, 1978
- Concept of nonintegrable phase factors and global formulation of gauge fieldsPhysical Review D, 1975
- Quantum mechanics and field theory on multiply connected and on homogeneous spacesJournal of Physics A: General Physics, 1972
- Approximate TopologiesJournal of Mathematical Physics, 1971
- Field and particle equations for the classical Yang-Mills field and particles with isotopic spinIl Nuovo Cimento A (1971-1996), 1970
- Significance of Electromagnetic Potentials in the Quantum TheoryPhysical Review B, 1959