ON THE ORIGIN OF MULTICOMPONENT ANYON WAVE-FUNCTIONS

被引:7
|
作者
FAYYAZUDDIN, A
机构
[1] Institute of Theoretical Physics, University of Stockholm, S-113 46 Stockholm
关键词
D O I
10.1016/0550-3213(93)90317-I
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
In this paper I discuss how the component structure of anyon wave functions arises in theories with non-relativistic matter coupled to a Chern-Simons gauge field on the torus. It is shown that there exists a singular gauge transformation which brings the hamiltonian to a free form. The gauge transformation removes a degree of freedom from the hamiltonian. This, degree of freedom generates only a finite-dimensional Hilbert space and is responsible for the component structure of free anyon wave functions. This gives an understanding of the need for multiple component anyon wave functions from the point of view of Chem-Simons theory.
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页码:644 / 662
页数:19
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