Time-dependent topological Chern-Simons solitons in external magnetic field

Journal Article · Sun Dec 15 04:00:00 EST 1991 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.44.3906· OSTI ID:6091922

Ezawa, Z F; Hotta, M ^[1]; Iwazaki, A ^[2]

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1. Department of Physics, Tohoku University, Sendai 980 (Japan)
2. Department of Physics, Nishogakusha University, Ohi 2590, Shonan-machi 277 (Japan)

We present a new method to construct time-dependent periodic solutions using static solutions in the (2+1)-dimensional Chern-Simons gauge theory with external magnetic field {ital B}. We apply this method to vortex solitons, which may be topological or nontopological; topological vortices are identified with Laughlin's quasiparticles or quasiholes in the fractional quantum Hall effect. Our periodic solution represents that vortex solitons make cyclotron motion. After applying the Bohr-Sommerfeld semiclassical quantization, it is found that the quantum soliton is in the Landau level.

• OSTI ID: 6091922
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 44:12; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

661100 -- Classical & Quantum Mechanics-- (1992-)
662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUNDARY CONDITIONS
COUPLING CONSTANTS
FIELD THEORIES
HALL EFFECT
HAMILTONIANS
LAGRANGIAN FIELD THEORY
MATHEMATICAL OPERATORS
MATHEMATICS
QUANTIZATION
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUASI PARTICLES
SEMICLASSICAL APPROXIMATION
SOLITONS
THREE-DIMENSIONAL CALCULATIONS
TIME DEPENDENCE
TOPOLOGY
VORTICES