Approximate analytic solutions to coupled nonlinear Dirac equations

@article{Khare2017ApproximateAS,
  title={Approximate analytic solutions to coupled nonlinear Dirac equations},
  author={Avinash Khare and Fred Cooper and Avadh B Saxena},
  journal={Physics Letters A},
  year={2017},
  volume={381},
  pages={1081-1086}
}

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References

SHOWING 1-10 OF 35 REFERENCES

Solitary waves in the nonlinear Dirac equation with arbitrary nonlinearity.

The nonrelativistic reduction is performed and the 1/2m correction to the NLSE is found, valid when |ω-m|<<2m , where ω is the frequency of the solitary wave in the rest frame.

Nonlinear Spinor Fields

A nonlinear spinor field, suggested by the symmetric coupling between nucleons, muons, and leptons, has been investigated in the classical approximation. Solutions of the field equations having

Nonperturbative solution of two-body Dirac equations for quantum electrodynamics and related field theories.

The properties of these Dirac equations, which gave a good fit to the entire meson mass spectrum with constituent world scalar and vector potentials depending on just one or two parameters, are investigated by solving them numerically for quantum electrodynamics and related field theories.

Dynamical symmetry breaking in asymptotically free field theories

Two-dimensional massless fermion field theories with quartic interactions are analyzed. These models are asymptotically free. The models are expanded in powers of $\frac{1}{N,}$ where $N$ is the

Chiral Confinement: An Exact Solution of the Massive Thirring Model

We investigate the possibility of fermion confinement in a manifestly chiral-invariant theory. In particular we study the nonlinear $\ensuremath{\sigma}$ model in one time and one space dimension,

Formal analogy between the Dirac equation in its Majorana form and the discrete-velocity version of the Boltzmann kinetic equation.

This analogy between the Dirac equation in Majorana form and the discrete-velocity version of the Boltzmann kinetic equation is shown to turn into a concrete and efficient computational method, providing a unified treatment of relativistic and nonrelativistic quantum mechanics.

Exact localized solutions of two-dimensional field theories of massive fermions with Fermi interactions

The classical equations of motion for field theories of massive fermions with Fermi interactions in one space and one time dimension are investigated. It is shown that they all possess exact