Results 181 to 190 of about 2,989 (204)
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On semiclassical states of a nonlinear Dirac equation
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2013We study the semiclassical limit of the least energy solutions to the nonlinear Dirac equation for x ∈ ℝ3. We prove that the equation has least energy solutions for all ħ > 0 small, and, in addition, that the solutions converge in a certain sense to the least energy solution of the associated limit problem as ħ → 0.
Y. H. Ding, C. Lee, B. Ruf
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On the Spectrum Zero Problem of Nonlinear Dirac Equations
St. Petersburg Mathematical JournalThe Spectrum Zero Problem for the nonlinear Dirac equation is treated. The main theorem proves to be the first result to address solutions of the nonlinear Dirac equation with spectrum point zero.
Dong, Xiaojing, Ding, Yanheng, Guo, Qi
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Periodic waves of nonlinear Dirac equations
Nonlinear Analysis: Theory, Methods & Applications, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yanheng Ding, Xiaoying Liu
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Soliton solutions of nonlinear Dirac equations
Journal of Mathematical Physics, 1979Dirac equations with fourth order self-couplings are investigated in one time and three space dimensions. Both stringlike and ball-like soliton solutions carrying nontopological quantum numbers are shown to exist, depending on the symmetries taken into account.
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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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High-order conservative schemes for the nonlinear Dirac equation
International Journal of Computer Mathematics, 2020Shu-Cun Li, Xiang-Gui Li
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