Non-Abelian Chern-Simons quantum mechanics and non-Abelian Aharonov-Bohm effect

Journal Article · Tue Nov 01 00:00:00 EST 1994 · Annals of Physics (New York)

DOI:https://doi.org/10.1006/aphy.1994.1103· OSTI ID:123460

Lee, Taejin ^[1]; Oh, Phillial ^[2]

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1. Kangwon National Univ., Chuncheon (Korea, Democratic People`s Republic of)
2. Sung Kyun Kwan Univ., Suwon (Korea, Democratic People`s Republic of)

We construct a classical action for a system of N point-like sources which carry SU(2) non-Abelian charges coupled to non-Abelian Chern-Simons gauge fields, and we develop a quantum mechanics for them. Adopting the coherent state quantization and solving the Gauss` constraint in an appropriately chosen gauge, we obtain a quantum mechanical Hamiltonian given in terms of the Knizhnik-Zamolodchikov connection. Then we study the non-Abelian Aharonov-Bohm effect, employing the obtained Hamiltonian for a two-particle sector. An explicit evaluation of the differential cross section for the non-Abelian Aharonov-Bohm scattering is given. 48 refs., 2 figs.

• OSTI ID: 123460
• Journal Information: Annals of Physics (New York), Vol. 235, Issue 2; Other Information: PBD: 1 Nov 1994
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
QUANTUM MECHANICS
GAUGE INVARIANCE
HAMILTONIANS
SCATTERING
HIGH-TC SUPERCONDUCTORS
FIELD THEORIES
QUANTIZATION
DIFFERENTIAL CROSS SECTIONS
TWO-BODY PROBLEM