Families of Localized and Oscillatory Solutions to the Coupled-Nonlinear Two-Dimensional Dirac Equations

H. Chaachoua Sameut, M. Asad-uz-zaman, U. Al Khawaja, M. Benarous

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

We numerically solve the coupled-nonlinear two-dimensional Dirac equations that describe a virtual spin-1/2 system with cubic nonlinearity.We find that this set of equations supports only oscillatory solutions in the non-relativistic limit and families of discrete localized solutions in the relativistic limit. Each family of the localized solutions is characterized by a constant central amplitude value. Each solution within a family is characterized by a number of nodes and a discrete energy eigenvalue, which is bounded by the rest mass of the particle. We study the effect of different parameters on the localized solutions.

Original languageEnglish
Pages (from-to)306-311
Number of pages6
JournalPhysics of Wave Phenomena
Volume26
Issue number4
DOIs
Publication statusPublished - Oct 1 2018

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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