Abelian Chern-Simons field theory and the anyon equation on a torus
Journal Article
·
· Physical Review, D (Particles Fields); (United States)
- Department of Physics, Chonbuk National University, Chonju, 560-756 (Korea, Republic of)
We quantize the Abelian Chern-Simons theory coupled to a nonrelativistic matter field on a torus without invoking the flux quantization. Through a series of canonical transformations which is equivalent to solving the Gauss constraint, we obtain an effective Hamiltonian density with a periodic matter field. We also obtain the many-anyon Schroedinger equation with periodic Aharonov-Bohm potentials and analyze the periodic property of the wave function. Some comments are given on the different features of our approach from the previous ones.
- OSTI ID:
- 7271941
- Journal Information:
- Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 50:4; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
661100* -- Classical & Quantum Mechanics-- (1992-)
662110 -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AHARONOV-BOHM EFFECT
ANYONS
CANONICAL TRANSFORMATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
FLUX QUANTIZATION
FUNCTIONS
HAMILTONIANS
MATHEMATICAL OPERATORS
MATTER
PARTIAL DIFFERENTIAL EQUATIONS
POTENTIALS
QUANTIZATION
QUANTUM OPERATORS
QUASI PARTICLES
SCHROEDINGER EQUATION
TRANSFORMATIONS
WAVE EQUATIONS
WAVE FUNCTIONS
662110 -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AHARONOV-BOHM EFFECT
ANYONS
CANONICAL TRANSFORMATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
FLUX QUANTIZATION
FUNCTIONS
HAMILTONIANS
MATHEMATICAL OPERATORS
MATTER
PARTIAL DIFFERENTIAL EQUATIONS
POTENTIALS
QUANTIZATION
QUANTUM OPERATORS
QUASI PARTICLES
SCHROEDINGER EQUATION
TRANSFORMATIONS
WAVE EQUATIONS
WAVE FUNCTIONS