Results 41 to 50 of about 76,709 (184)
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
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Integration of the negative order Nonlinear Schr¨odinger Equation with self-consistent source
Қарағанды университетінің хабаршысы. Математика сериясыThis paper focuses on the integrability properties of the negative-order nonlinear Schro¨dinger equation with a source. The source consists of the combination of the eigenfunctions of the corresponding spectral problem for the Dirac system which has not
G.U. Urazboev, I.I. Baltaeva
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Effective quantum dynamics for magnetic fermions [PDF]
Open Communications in Nonlinear Mathematical PhysicsWe show how to derive an effective nonlinear dynamics, described by the Hartree-Fock equations, for fermionic quantum particles confined to a two-dimensional box and in presence of an external, uniform magnetic field.
Margherita Ferrero, Domenico Monaco
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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
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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
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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
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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
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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
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Electronic response of graphene to an ultrashort intense terahertz radiation pulse
New Journal of Physics, 2013 We have recently reported a study (Ishikawa 2010 Phys. Rev. B 82 201402) on a nonlinear optical response of graphene to a normally incident terahertz radiation pulse within the massless Dirac fermion (MDF) picture, where we have derived physically ...
Kenichi L Ishikawa
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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
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