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- W2058756466 abstract "Darboux transformations are employed in construction and analysis of Dirac Hamiltonians with pseudoscalar potentials. By this method, we build a four parameter class of reflectionless systems. Their potentials correspond to composition of complex kinks, also known as twisted kinks, that play an important role in the $1+1$ Gross-Neveu and Nambu-Jona-Lasinio field theories. The twisted kinks turn out to be multi-solitonic solutions of the integrable AKNS hierarchy. Consequently, all the spectral properties of the Dirac reflectionless systems are reflected in a non-trivial conserved quantity, which can be expressed in a simple way in terms of Darboux transformations. We show that the four parameter pseudoscalar systems reduce to well-known models for specific choices of the parameters. An associated class of transparent non-relativistic models described by matrix Schrodinger Hamiltonian is studied and the rich algebraic structure of their integrals of motion is discussed." @default.
- W2058756466 created "2016-06-24" @default.
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- W2058756466 date "2014-12-03" @default.
- W2058756466 modified "2023-10-13" @default.
- W2058756466 title "Twisted kinks, Dirac transparent systems, and Darboux transformations" @default.
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- W2058756466 doi "https://doi.org/10.1103/physrevd.90.125003" @default.
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