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Nonlinear Dirac equation solitary waves under a spinor force with different components

 

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Author: Mertens, Franz G.
Cooper, Fred
Sihong, Shao
Quintero, Niurka R.
Saxena, Avadh
Bishop, Alan R.
Department: Universidad de Sevilla. Departamento de Física Aplicada I
Date: 2017
Published in: Journal of Physics A: Mathematical and Theoretical, 50 (14), 145201-1-145201-21.
Document type: Article
Abstract: We consider the nonlinear Dirac (NLD) equation in 1+1 dimension with scalar-scalar selfinteraction in the presence of external forces as well as damping of the form γͦf(x-t) - ιμγͦψ, where both f, {fj = rieiKjx} and ψ are two-component spinors. We develop an approximate variational approach using collective coordinates (CC) for studying the time dependent response of the solitary waves to these external forces. In our previous paper we assumed Kj = K, j = 1,2 which allowed a transformation to a simplifying coordinate system, and we also assumed the "small" component of the external force was zero. Here we include the effects of the small component and also the case K1 ≠ K2 which dramatically modi es the behavior of the solitary wave in the presence of these external forces.
Cite: Mertens, F.G., Cooper, F., Sihong, S., Quintero, N.R., Saxena, A. y Bishop, A.R. (2017). Nonlinear Dirac equation solitary waves under a spinor force with different components. Journal of Physics A: Mathematical and Theoretical, 50 (14), 145201-1-145201-21.
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URI: https://hdl.handle.net/11441/80465

DOI: 10.1088/1751-8121/aa5fb4

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