Results 41 to 50 of about 82,530 (235)
Uniformly accurate numerical schemes for the nonlinear Dirac equation in the nonrelativistic limit regime [PDF]
, 2016 We apply the two-scale formulation approach to propose uniformly accurate (UA) schemes for solving the nonlinear Dirac equation in the nonrelativistic limit regime.
Lemou, Mohammed +2 more
core +5 more sources
A New Super Extension of Dirac Hierarchy
Abstract and Applied Analysis, 2014 We derive a new super extension of the Dirac hierarchy associated with a 3×3 matrix super spectral problem with the help of the zero-curvature equation. Super trace identity is used to furnish the super Hamiltonian structures for the resulting nonlinear
Jiao Zhang, Fucai You, Yan Zhao
doaj +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
Известия Иркутского государственного университета: Серия "Математика"In this paper, we consider the loaded negative order nonlinear Schrodinger equation (NSE) in the class of periodic functions. It is shown that the loaded negative order nonlinear Schrodinger equation can be integrated by the inverse spectral problem ...
M. M. Khasanov +2 more
doaj +1 more source
Advances in Difference Equations, 2019 In this paper we study the Boussinesq equation with power law nonlinearity and dual dispersion which arises in fluid dynamics. A particular kind of product of distributions is introduced and applied to solve non-smooth solutions of this equation.
Shan Zheng, Zhengyong Ouyang, Kuilin Wu
doaj +1 more source
Symmetry breaking in the periodic Thomas--Fermi--Dirac--von Weizs{\"a}cker model
, 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
core +1 more source
The Dirac equation as a linear tensor equation for one component
European Physical Journal C: Particles and FieldsThe Dirac equation is one of the most fundamental equations of modern physics. It is a spinor equation, but some tensor equivalents of the equation were proposed previously.
Andrey Akhmeteli
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
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Nambu-Type Generalization of the Dirac Equation [PDF]
, 1996 Nonlinear generalization of the Dirac equation extending the standard paradigm of nonlinear Hamiltonians is discussed. ``Faster-than-light telegraphs" are absent for all theories formulated within the new framework.
Barut +39 more
core +3 more sources
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