Results 11 to 20 of about 82,407 (180)
On stabilization of small solutions in the nonlinear Dirac equation with a trapping potential [PDF]
, 2016 We consider a Dirac operator with short range potential and with eigenvalues. We add a nonlinear term and we show that the small standing waves of the corresponding nonlinear Dirac equation (NLD) are attractors for small solutions of the NLD.
Cuccagna, Scipio, Tarulli, Mirko
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Nonlinear A-Dirac Equations [PDF]
Advances in Applied Clifford Algebras, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Solitary waves in the nonlinear Dirac equation with arbitrary nonlinearity [PDF]
Physical Review E, 2010 15 pages, 7 ...
Cooper, Fred +3 more
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Waves in Honeycomb Structures [PDF]
, 2012 We review recent work of the authors on the non-relativistic Schr\"odinger equation with a honeycomb lattice potential, $V$. In particular, we summarize results on (i) the existence of Dirac points, conical singularities in dispersion surfaces of $H_V ...
Fefferman, Charles L. +1 more
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The One-Dimensional Dirac Equation With Concentrated Nonlinearity [PDF]
SIAM Journal on Mathematical Analysis, 2017 The purpose of this paper is to study the one-dimensional Dirac equation with a new kind of singular operator. By the self-adjointness of the extension of this operator, the authors are able to study a wide range of similar well-posed equations, which are parametrized through a singular boundary condition.
CACCIAPUOTI, CLAUDIO +3 more
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Nonlinear Dirac equation solitary waves in external fields [PDF]
Physical Review E, 2012 We consider the nonlinear Dirac equations (NLDE's) in 1+1 dimension with scalar-scalar self interaction $\frac{g^2}{ +1} ({\bPsi} )^{ +1}$ in the presence of various external electromagnetic fields. Starting from the exact solutions for the unforced problem we study the behavior of solitary wave solutions to the NLDE in the presence of a wide ...
Mertens, Franz G. +4 more
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Boundary Value Problems, 2018 We consider the nonlinear Schrödinger equation with Dirac interaction in a half-line domain of R $\mathbb{R}$. Endowed with artificial boundary condition, we discuss the global well-posedness of the equation.
Mostafa Abounouh +2 more
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Monopole solutions in SU(2) Yang-Mills-plus-massive-nonlinear-spinor-field theory
Physics Letters B, 2020 Monopole solutions in SU(2) Yang-Mills theory which includes spinor fields described by the nonlinear Dirac equation are obtained. It is demonstrated that the energy spectrum of such a system possesses a global minimum whose appearance is brought about ...
Vladimir Dzhunushaliev +2 more
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Symmetry breaking in the periodic Thomas--Fermi--Dirac--von Weizs{\"a}cker model [PDF]
, 2017 We consider the Thomas--Fermi--Dirac--von~Weizs{\"a}cker model for a system composed of infinitely many nuclei placed on a periodic lattice and electrons with a periodic density. We prove that if the Dirac constant is small enough, the electrons have the
Ricaud, Julien
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Born-infeld electrodynamics: Clifford number and spinor representations
International Journal of Mathematics and Mathematical Sciences, 2002 The Clifford number formalism for Maxwell equations is considered. The Clifford imaginary unit for space-time is introduced as coordinate independent form of fully antisymmetric fourth-rank tensor.
Alexander A. Chernitskii
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