Nonlinear Spin and Pseudo-Spin Symmetric Dirac Equations View Full Text


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Article Info

DATE

2013-10-13

AUTHORS

A. D. Alhaidari

ABSTRACT

Nonlinear Dirac equations are obtained by variation of the spinor action whose Lagrangian components have the same conformal degree and the coupling parameter of the self-interaction term is dimensionless. In 1+1 space-time, we show that these requirements result in the “conventional” quartic form of the nonlinear interaction and present the general equation for various coupling modes. These include, but not limited to, the Thirring and Gross-Neveu models. We consider the spin and pseudo-spin symmetric models and obtain a numerical solution. We also propose a two-component “minimal” pseudo-scalar coupling model. More... »

PAGES

685-693

References to SciGraph publications

  • 1978-12. Relativistic models of nonlinear quantum mechanics in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2008-01-01. Asymptotic Reductions of the Gross-Pitaevskii Equation in EMERGENT NONLINEAR PHENOMENA IN BOSE-EINSTEIN CONDENSATES
  • 2001-04-01. Nonlinear Propagation of Light in One-Dimensional Periodic Structures in JOURNAL OF NONLINEAR SCIENCE
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s10773-013-1856-0

    DOI

    http://dx.doi.org/10.1007/s10773-013-1856-0

    DIMENSIONS

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