Self-Dual Chern-Simons Solitons and Quantum Potential
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Pashaev, Oktay
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GOLD
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Yes
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Abstract
An influence of the quantum potential on the Chern-Simons solitons leads to quantization of the statistical parameter κ = me 2/g, and the quantum potential strength s = 1 - m 2. A new type of exponentially localized Chern-Simons solitons for the Bloch electrons near the hyperbolic energy band boundary are found.
Description
Special Issue: Proceedings of the 13th Workshop NEEDS’99: Nonlinear Evolution Equations and Dynamical Systems
Keywords
Chern-Simons solitons, Quantum potential, Schrödinger equation, Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations, hyperbolic energy band boundary, Statistical mechanics of solids, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, Schrödinger equation, Quantum potential, quantization of the statistical parameter, Bloch electrons, Chern-Simons solitons
Fields of Science
0103 physical sciences, 01 natural sciences
Citation
Pashaev, O., and Lee, J. H. (2001). Self-dual Chern-Simons solitons and quantum potential. Journal of Nonlinear Mathematical Physics, 8(Supplement), 225-229. doi:10.2991/jnmp.2001.8.s.39
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Volume
8
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Start Page
225
End Page
229
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Scopus : 2
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