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Nonrelativistic limit and some properties of solutions for nonlinear Dirac equations
Calculus of Variations and Partial Differential Equations, 2021Yanheng Ding, Xiaojing Dong, Qi Guo
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Quantization for a nonlinear Dirac equation
Proceedings of the American Mathematical Society, 2016We study solutions of certain nonlinear Dirac-type equations on Riemann spin surfaces. We first improve an energy identity theorem for a sequence of such solutions with uniformly bounded energy in the case of a fixed domain. Then, we prove the corresponding energy identity in the case that the equations have constant coefficients and the domains ...
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Bifurcation solutions for a nonlinear Dirac equation
Applied Mathematics Letters, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Semiclassical states for nonlinear Dirac equations with singular potentials
Calculus of Variations and Partial Differential Equations, 2021Zhi-Qiang Wang, Xu Zhang
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Pauli Exclusion Principle and Nonlinear Dirac Equation
Journal of Geometry and Symmetry in PhysicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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NONLINEAR DIRAC EQUATIONS WITH APPLICATIONS TO NEUTRINO OSCILLATIONS
International Journal of Modern Physics A, 2009We first review a method to generate nonlinear Dirac equations. The method demands the nonlinear extensions preserve several physical properties like locality, Hermiticity, Poincaré invariance and separability. The last constraint results in nonlinear extensions of non-polynomial type.
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On the integrability of nonlinear Dirac equations
Journal of Mathematical Physics, 1984The integrability of nonlinear Dirac equations is discussed applying recent results in soliton theory. Using the Lie point transformation groups of the nonlinear Dirac equations we reduce these partial differential equations to systems of ordinary differential equations and study whether these systems are integrable.
Steeb, W.-H., Oevel, W., Strampp, W.
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An infinite sequence of localized semiclassical bound states for nonlinear Dirac equations
Calculus of Variations and Partial Differential Equations, 2018Zhi-Qiang Wang, Xu Zhang
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Weyl, Dirac and high-fold chiral fermions in topological quantum matter
Nature Reviews Materials, 2021M Zahid Hasan +2 more
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