Wave-function formalisms in the channel coupling array theory of many-body scattering

1980 ◽  
Vol 21 (6) ◽  
pp. 2199-2210 ◽  
Author(s):  
F. S. Levin
Keyword(s):  
Wave Function ◽  
Many Body ◽  
Channel Coupling

Electron correlation and many-body wave function of semiconductor heterojunction

1989 ◽  
Vol 6 (8) ◽  
pp. 370-373
Author(s):  
Wang Hongwei ◽  
Feng Weiguo ◽  
Mao Huiming ◽  
Sun Xin
Keyword(s):  
Wave Function ◽  
Electron Correlation ◽  
Body Wave ◽  
Many Body

ANYON EQUATION ON A TORUS

1992 ◽  
Vol 07 (23) ◽  
pp. 5797-5831 ◽  
Author(s):  
CHOON-LIN HO ◽  
YUTAKA HOSOTANI
Keyword(s):  
Field Theory ◽  
Wave Function ◽  
Essential Role ◽  
Wilson Line ◽  
Regular Function ◽  
Gauge Fields ◽  
Quantum Field ◽  
Many Body ◽  
Definition Of ◽  
Chern Simons

Starting from the quantum field theory of nonrelativistic matter on a torus interacting with Chern-Simons gauge fields, we derive the Schrödinger equation for an anyon system. The nonintegrable phases of the Wilson line integrals on a torus play an essential role. In addition to generating degenerate vacua, they enter in the definition of a many-body Schrödinger wave function in quantum mechanics, which can be defined as a regular function of the coordinates of anyons. It obeys a non-Abelian representation of the braid group algebra, being related to Einarsson’s wave function by a singular gauge transformation.

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