Results 51 to 60 of about 471,361 (266)
, 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
core +1 more source
International Journal of Mathematics and Mathematical Sciences, 2004 We obtain optical vortices with classical orbital momentum ℓ=1 and spin j=±1/2 as exact solutions of a system of nonlinear Maxwell equations (NMEs). Two kinds of Kerr-type media, namely, those with and without linear dispersion of the electric and the ...
Lubomir M. Kovachev
doaj +1 more source
Nonrelativistic open string and Yang-Mills theory
Journal of High Energy Physics, 2021 The classical and quantum worldsheet theory describing nonrelativistic open string theory in an arbitrary nonrelativistic open and closed string background is constructed.
Jaume Gomis, Ziqi Yan, Matthew Yu
doaj +1 more source
Causal Classical Theory of Radiation Damping [PDF]
, 2001 It is shown how initial conditions can be appropriately defined for the integration of Lorentz-Dirac equations of motion. The integration is performed \QTR{it}{forward} in time. The theory is applied to the case of the motion of an electron in an intense
J. C. WELLS +3 more
core +2 more sources
On Stability of Standing Waves of Nonlinear Dirac Equations [PDF]
, 2011 We consider the stability problem for standing waves of nonlinear Dirac models. Under a suitable definition of linear stability, and under some restriction on the spectrum, we prove at the same time orbital and asymptotic stability.
N. Boussaid, Scipio Cuccagna
semanticscholar +1 more source
APPROXIMATION OF POSITIONAL IMPULSE CONTROLS FOR DIFFERENTIAL INCLUSIONS
Ural Mathematical Journal, 2022 Nonlinear control systems presented as differential inclusions with positional impulse controls are investigated. By such a control we mean some abstract operator with the Dirac function concentrated at each time. Such a control ("running impulse"), as a
Ivan A. Finogenko, Alexander N. Sesekin
doaj +1 more source
Nonlinear Dirac and diffusion equations in 1 + 1 dimensions from stochastic considerations
, 1999 We generalize the method of obtaining the fundamental linear partial differential equations such as the diffusion and Schrodinger equation, Dirac and telegrapher's equation from a simple stochastic consideration to arrive at certain nonlinear form of ...
A. Munier +9 more
core +1 more source
On the concentration of semiclassical states for nonlinear Dirac equations
, 2018 In this paper, we study the following nonlinear Dirac equation \begin{document}$\begin{equation*}-i\varepsilonα·\nabla w+aβ w+V(x)w = g(|w|)w, \ x∈ \mathbb{R}^3, \ {\rm for}\ w∈ H^1(\mathbb R^3, \mathbb C^4), \end{equation*}$ \end{document} where \begin ...
Xu Zhang
semanticscholar +1 more source
Low‐Symmetry Weyl Semimetals: A Path to Ideal Topological States
Advanced Functional Materials, EarlyView.This study presents a theoretical framework for realizing ideal Weyl semimetals, where Weyl nodes are well‐isolated at the Fermi level. The approach is exemplified in the low‐symmetry material Cu2SnSe3, which exhibits tunable topological phases, current‐induced orbital magnetization, and a strong circular photogalvanic effect, making it a promising ...
Darius‐Alexandru Deaconu +3 more
wiley +1 more source
Alexandria Engineering JournalThis research looked at nonlinear ordinary differential equations with global differential operators and the Dirac-delta and exponential decay kernels.
Abdon Atangana, Seda Igret Araz
doaj +1 more source