Results 41 to 50 of about 471,361 (266)
On Remarkable Reductions of the Nonlinear Dirac Equation [PDF]
Journal of Nonlinear Mathematical Physics, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhdanov, Renat, Andreitsev, Andrij
openaire +1 more source
Solitary waves in a discrete nonlinear Dirac equation [PDF]
Journal of Physics A: Mathematical and Theoretical, 2015 In the present work, we introduce a discrete formulation of the nonlinear Dirac equation in the form of a discretization of the Gross-Neveu model. The motivation for this discrete model proposal is both computational (near the continuum limit) and theoretical (using the understanding of the anti-continuum limit of vanishing coupling).
Cuevas–Maraver, Jesús +2 more
openaire +4 more sources
Asymptotic stability of small gap solitons in nonlinear Dirac equations [PDF]
, 2010 We prove dispersive decay estimates for the one-dimensional Dirac operator and use them to prove asymptotic stability of small gap solitons in the nonlinear Dirac equations with quintic and higher-order nonlinear terms.
D. Pelinovsky, A. Stefanov
semanticscholar +1 more source
Gauge Invariance of Nonlinear Klein-Gordon
Positron, 2013 We have discussed the gauge invariance of nonlinear Klein-Gordon equation which describes the interaction of electromagnetic initially proposed by Hermann Weyl. The construction of nonlinear Klein-Gordon itself is formulated by two classical conservation
T. B. Prayitno
doaj +1 more source
Linear and nonlinear photonic Jackiw-Rebbi states in waveguide arrays [PDF]
, 2017 We study analytically and numerically the optical analogue of the Jackiw-Rebbi states in quantum field theory. These solutions exist at the interface of two binary waveguide arrays which are described by two Dirac equations with opposite sign masses.
Biancalana, Fabio, Tran, Truong X.
core +2 more sources
Dirichlet Type Problem for 2D Quaternionic Time-Harmonic Maxwell System in Fractal Domains
Advances in Mathematical Physics, 2020 We investigate an electromagnetic Dirichlet type problem for the 2D quaternionic time-harmonic Maxwell system over a great generality of fractal closed type curves, which bound Jordan domains in R2.
Yudier Peña Pérez +3 more
doaj +1 more source
Perturbation method for particlelike solutions of Einstein-Dirac equations
, 2009 The aim of this work is to prove by a perturbation method the existence of solutions of the coupled Einstein-Dirac equations for a static, spherically symmetric system of two fermions in a singlet spinor state. We relate the solutions of our equations to
Nodari, Simona Rota
core +1 more source
Stable directions for small nonlinear Dirac standing waves [PDF]
, 2006 We prove that for a Dirac operator with no resonance at thresholds nor eigenvalue at thresholds the propagator satisfies propagation and dispersive estimates.
A. Alvarez +48 more
core +2 more sources
Energy methods for Dirac-type equations in two-dimensional Minkowski space
, 2018 In this article we develop energy methods for a large class of linear and nonlinear Dirac-type equations in two-dimensional Minkowski space. We will derive existence results for several Dirac-type equations originating in quantum field theory, in ...
Branding, Volker
core +1 more source
Localized Concentration of Semi-Classical States for Nonlinear Dirac Equations [PDF]
, 2014 The present paper studies concentration phenomena of the semiclassical approximation of a massive Dirac equation with general nonlinear self-coupling: $$\begin{array}{ll}-i \hbar \alpha \cdot \nabla w+a \beta w + V (x) w = g (|w|) w.\end{array}$$-iħα·∇w ...
Yanheng Ding, T. Xu
semanticscholar +1 more source