Results 31 to 40 of about 471,361 (266)
Pseudo-Exponential-Type Solutions of Wave Equations Depending on Several Variables [PDF]
, 2015 Using matrix identities, we construct explicit pseudo-exponential-type solutions of linear Dirac, Loewner and Schr\"odinger equations depending on two variables and of nonlinear wave equations depending on three ...
Fritzsche, Bernd +3 more
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Quantum Maps with Memory from Generalized Lindblad Equation
Entropy, 2021 In this paper, we proposed the exactly solvable model of non-Markovian dynamics of open quantum systems. This model describes open quantum systems with memory and periodic sequence of kicks by environment. To describe these systems, the Lindblad equation
Vasily E. Tarasov
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On the GBDT version of the B\"acklund-Darboux transformation and its applications to the linear and nonlinear equations and Weyl theory [PDF]
, 2009 A general theorem on the GBDT version of the B\"acklund-Darboux transformation for systems rationally depending on the spectral parameter is treated and its applications to nonlinear equations are given.
Sakhnovich, Alexander
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The cubic nonlinear Dirac equation [PDF]
Journées équations aux dérivées partielles, 2013 We present some results obtained in collaboration with prof. Piero D’Ancona concerning global existence for the 3D cubic non linear massless Dirac equation with a potential for small initial data in H 1 with slight additional assumptions. The new crucial tool is given by the proof of some refined endpoint Strichartz estimates.
openaire +2 more sources
New Journal of Physics, 2015 We present the theoretical and mathematical foundations of stability analysis for a Bose–Einstein condensate (BEC) at Dirac points of a honeycomb optical lattice. The combination of s -wave scattering for bosons and lattice interaction places constraints
L H Haddad, Lincoln D Carr
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Construction of the Pauli-Villars-regulated Dirac vacuum in electromagnetic fields [PDF]
, 2012 Using the Pauli-Villars regularization and arguments from convex analysis, we construct solutions to the classical time-independent Maxwell equations in Dirac's vacuum, in the presence of small external electromagnetic sources. The vacuum is not an empty
C. Hainzl +37 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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Global Strong Solutions to Some Nonlinear Dirac Equations in Super-Critical Space
Abstract and Applied Analysis, 2013 We study the initial value problem of some nonlinear Dirac equations which are Lmℝ critical. Corresponding to the structure of nonlinear terms, global strong solutions can be obtained in different Lebesgue spaces by using solution representation formula.
Hyungjin Huh
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A SHOCK LAYER ARISING AS THE SOURCE TERM COLLAPSES IN THE P(X)-LAPLACIAN EQUATION
Проблемы анализа, 2020 We study the Cauchy–Dirichlet problem for the p(x)-Laplacian equation with a regular finite nonlinear minor term. The minor term depends on a small parameter ε > 0 and, as ε → 0, converges weakly* to the expression incorporating the Dirac delta function,
S. N. Antontsev +2 more
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Fluid-electromagnetic helicities and knotted solutions of the fluid-electromagnetic equations
Journal of High Energy Physics, 2022 In this paper we consider an Euler fluid coupled to external electromagnetism. We prove that the Hopfion fluid-electromagnetic knot, carrying fluid and electromagnetic (EM) helicities, solves the fluid dynamical equations as well as the Abanov Wiegmann ...
Horatiu Nastase, Jacob Sonnenschein
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