Results 11 to 20 of about 471,361 (266)

Solitary waves in the Nonlinear Dirac Equation [PDF]

, 2017
In the present work, we consider the existence, stability, and dynamics of solitary waves in the nonlinear Dirac equation. We start by introducing the Soler model of self-interacting spinors, and discuss its localized waveforms in one, two, and three ...
A Alvarez, A Alvarez, A Berthier, A Comech, A Comech, A Contreras, A Degasperis, A Galindo, A Guo, A Jensen, A Regensburger, A Ruschhaupt, A Soffer, AF Rañada, Andreas Fring, B Feng, B Peng, B Ramachandhran, B Thaller, B Waerden van der, B Wit De, B. V. Fedosov, C Hamner, C Jones, C Kharif, C Qu, C Sulem, Carl M Bender, CE Rüter, CJ Pethick, CM Bender, CM Bender, CM Bender, D Darby, D Pelinovsky, D Stuart, DD Ivanenko, DE Pelinovsky, DE Pelinovsky, DJ Gross, E Hairer, EH Lieb, F Cooper, F Merle, F Merle, FG Mertens, G Berkolaiko, G Berkolaiko, G Herring, GH Derrick, GJ Conduit, GL Alfimov, H Berestycki, H Huh, H Kestelman, H Sakaguchi, HM Quiney, IL Bogolubsky, IM Sigal, IV Barashenkov, J Alexander, J Bjorken, J Cuevas-Maraver, J Cuevas-Maraver, J Cuevas-Maraver, J Dalibard, J Evans, J Evans, J Evans, J Evans, J Radić, J Schindler, J Schindler, J Xu, JP Boyd, JR Dormand, KF Mak, KG Makris, KG Makris, L Gross, L Hadzievski, L Visscher, L Vázquez, LF Shampine, LH Haddad, LH Haddad, LH Haddad, LJ LeBlanc, LN Trefethen, LP Pitaevskii, M Chugunova, M Escobedo, M Grillakis, M Johansson, M Merkl, M Soler, M Soler, M Wakano, Maria J. Esteban, MJ Ablowitz, MJ Ablowitz, MJ Ablowitz, MJ Esteban, MJ Esteban, MJ Esteban, MJ Esteban, N Bournaveas, N Boussaïd, N Boussaïd, N Boussaïd, N Boussaïd, NG Vakhitov, O Fialko, O Peleg, P Blanchard, P Dirac, P Mathieu, PG Kevrekidis, PG Kevrekidis, R Carretero-González, R Finkelstein, RA Vicencio, RL Pego, RS MacKay, S Aubry, S Coleman, S Cuccagna, S Klaiman, S Machihara, S Machihara, S Rota Nodari, S Rota Nodari, S Selberg, S Shao, SY Lee, T Candy, T Cazenave, T Cazenave, T Dauxois, T Kapitula, T Kawakami, TO Wehling, TRO Melvin, TX Tran, V Achilleos, V Achilleos, V Georgiev, W Heisenberg, W Ng, W Pauli, WA Strauss, WE Thirring, WH Press, XQ Xu, Y Xu, YJ Lin, YS Kivshar, YV Kartashov   +157 more
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A remark on nonlinear Dirac equations [PDF]

Proceedings of the American Mathematical Society, 2008
For an -dimensional spin manifold with a fixed spin structure and a spinor bundle , we prove an -regularity theorem for weak solutions to the nonlinear Dirac equation of cubic nonlinearity.
Changyou Wang
semanticscholar   +5 more sources

Nonlinear conformal-degree preserving Dirac equations

International Journal of Theoretical Physics, 2013
Nonlinear Dirac equations in D+1 space-time are obtained by variation of the spinor action whose Lagrangian components have the same conformal degree and the coupling parameter of the self-interaction term is dimensionless. In 1+1 dimension, we show that
Alhaidari, A. D.
core   +4 more sources

Structure of Dirac matrices and invariants for nonlinear Dirac equations

Differential and Integral Equations, 2004
In this paper we present invariants for nonlinear Dirac equations in spacetime R, by which we prove that a special choice of the Cauchy data yields free solutions.
T. Ozawa, K. Yamauchi
semanticscholar   +4 more sources

Solutions of nonlinear Dirac equations

Journal of Differential Equations, 2006
Existence and multiplicity results for stationary solutions of the Dirac equation \(-i\partial _{t}\psi =ic\hslash \sum_{k=1}^{3}a_{k}\partial _{k}\psi -mc^{2}\beta \psi +\nabla _{\psi }G(x,\psi )\) are established via variational method. The associated Lagrangian functional is strongly indefinite and the Palais-Smale (PS) condition is not satisfied ...
T. Bartsch, Yanheng Ding
semanticscholar   +3 more sources

Nonlinear Dirac equation for graphene [PDF]

Keldysh Institute Preprints, 2016
The possibility of introducing a nonlinear correction to the Dirac equation for graphene in order to adequately describe collective electronic phenomena is considered. In contrast to the other papers on this topic the interaction term includes the sum of the spinor components’ squares instead of their difference.
Andrey Andreevich Gladkikh, Georgii Gennadyevich Malinetskii   +1 more
openaire   +1 more source

Parametrically driven nonlinear Dirac equation with arbitrary nonlinearity [PDF]

Journal of Physics A: Mathematical and Theoretical, 2020
The damped and parametrically driven nonlinear Dirac equation with arbitrary nonlinearity parameter $ $ is analyzed, when the external force is periodic in space and given by $f(x) =r\cos(K x)$, both numerically and in a variational approximation using five collective coordinates (time dependent shape parameters of the wave function).
Fred Cooper, Avinash Khare, Niurka R Quintero, Bernardo Sánchez-Rey, Franz G Mertens, Avadh Saxena   +5 more
openaire   +4 more sources

Approximate analytic solutions to coupled nonlinear Dirac equations [PDF]

Physics Letters A, 2016
11 pages, 10 ...
A. Khare, Fred Cooper, A. Saxena
semanticscholar   +5 more sources

A Clarification on Quantum-Metric-Induced Nonlinear Transport. [PDF]

Adv Sci (Weinh)
How does the quantum metric truly govern the nonlinear transport? The longstanding theoretical discrepancies are resolved in quantum‐metric‐induced nonlinear transport and the correct intrinsic nonlinear conductivity is identified. Furthermore, a toy model is engineered to suppress the competing effects, uniquely highlighting the role of quantum metric
Qiang XB, Liu T, Gao ZX, Lu HZ, Xie XC.
europepmc   +2 more sources

Nonlinear A-Dirac Equations [PDF]

Advances in Applied Clifford Algebras, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source