Year: 1994
Type: article
Abstract: A many-body Schr\"odinger equation for non-Abelian Chern-Simons particles is obtained from both point-particle and field-theoretic pictures. We present a particle Lagrangian and a field-theoretic Lagrange density, and discuss their properties. Both are quantized by the symplectic method of Hamiltonian reduction. An $N$-body Schr\"odinger equation for the particles is obtained from both starting points. It is shown that the resulting interaction between particles can be replaced by nontrivial boundary conditions. Also, the equation is compared with the one given in the literature.
Authors: Dongsu Bak, R. Jackiw, So-Young Pi
Institutions: Massachusetts Institute of Technology, Boston University
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2016357691
