Results 21 to 30 of about 16,019 (311)
Nonlinear Dirac Equations [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We construct nonlinear extensions of Dirac's relativistic electron equation that preserve its other desirable properties such as locality, separability, conservation of probability and Poincaré invariance. We determine the constraints that the nonlinear term must obey and classify the resultant non-polynomial nonlinearities in a double expansion in the
Ng, W.K., Parwani, R.R.
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A Search on Dirac Equation [PDF]
Chinese Physics Letters, 2007 The solutions, in terms of orthogonal polynomials, of Dirac equation with analytically solvable potentials are investigated within a novel formalism by transforming the relativistic equation into a Schrodinger like one. Earlier results are discussed in a unified framework and certain solutions of a large class of potentials are given.
Kocak, M, Gonul, B
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Relativistic dynamical inversion in manifestly covariant form
Physical Review Research, 2022 The relativistic dynamical inversion technique, a novel tool for finding analytical solutions to the Dirac equation, is written in explicitly covariant form.
Andre G. Campos, Luca Fabbri
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Deformation of the Dirac equation [PDF]
International Journal of Modern Physics D, 2016 In this paper, we will first clarify the physical meaning of having a minimum measurable time. Then we will combine the deformation of the Dirac equation due to the existence of minimum measurable length and time scales with its deformation due to the doubly special relativity. We will also analyze this deformed Dirac equation in curved spacetime, and
Faizal, Mir, Kruglov, Sergey I.
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Open Physics, 2023 Using the finite difference time domain (FDTD) method based on the eight-element Dirac equation, we found that a stable Dirac field wave packet with low velocity can be created without explicit consideration of Zitterbewegung (the rapid oscillatory ...
Mutoh Hideki
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International Journal of Theoretical Physics, 2002 Tensor, matrix and quaternion formulations of Dirac-Kähler equation for massive and massless fields are considered. The equation matrices obtained are simple linear combinations of matrix elements in the 16-dimensional space. The projection matrix-dyads defining all the 16 independent equation solutions are found. A method of computing the traces of 16-
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Solusi Persamaan Dirac untuk Fermion dengan Model Potensial Penghalang Medan Elektromagnetik
Jurnal Fisika Flux, 2020 The solution of the Dirac equation in the presence of the electromagnetic field on the one-dimensional barrier potential is studied. The energy spectrum and the eigenfunction of the Dirac equation obtained by solving the Dirac equation and we introduced ...
Arista Romadani, Erika Rani
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The Dirac Equation and the Majorana Dirac Equation
, 2020 We discuss the structure of the Dirac equation and how the nilpotent and the Majorana operators arise naturally in this context. This provides a link between Kauffman's work on discrete physics, iterants and Majorana Fermions and the work on nilpotent structures and the Dirac equation of Peter Rowlands.
Kauffman, Louis H, Rowlands, Peter
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A Generalization of the Dirac Equations [PDF]
Proceedings of the National Academy of Sciences, 1941 Not ...
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New Journal of Physics, 2014 We write the charge-free Maxwell equations in a form analogous to that of the Dirac equation for a free electron. This allows us to apply to light some of the ideas developed for the relativistic theory of the electron.
Stephen M Barnett
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