Non-Abelian Chern-Simons Quantum Mechanics and Non-Abelian Aharonov-Bohm Effect

✍ Scribed by T. Lee; P. Oh

• Publisher: Elsevier Science
• Year: 1994
• Tongue: English
• Weight: 807 KB
• Volume: 235
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1006/aphy.1994.1103

✦ Synopsis

We construct a classical action for a system of (N) point-like sources which carry (S U(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 AharonovBohm scattering is given. 1994 Academic Press, Inc.