Results 31 to 40 of about 16,019 (311)
Nonlinear A-Dirac Equations [PDF]
Advances in Applied Clifford Algebras, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Testing the Dirac Equation [PDF]
, 2007 The dynamical equations which are basic for the description of the dynamics of quantum felds in arbitrary space--time geometries, can be derived from the requirements of a unique deterministic evolution of the quantum fields, the superposition principle, a finite propagation speed, and probability conservation.
Lämmerzahl, Claus, Bordé, Christian J.
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On the Fractional Derivative of Dirac Delta Function and Its Application
Advances in Mathematical Physics, 2020 The Dirac delta function and its integer-order derivative are widely used to solve integer-order differential/integral equation and integer-order system in related fields. On the other hand, the fractional-order system gets more and more attention.
Zaiyong Feng, Linghua Ye, Yi Zhang
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The Dirac equation with a δ-potential [PDF]
Journal of Physics A: Mathematical and General, 2000 Summary: An elementary treatment of the Dirac equation in the presence of a three-dimensional spherically symmetric \(\delta(r- r_0)\)-potential is presented. We show how to handle the matching conditions in configuration space, and discuss the occurrence of supercritical effects.
R D Benguria +3 more
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Lorentz covariance of optical Dirac equation and spinorial photon field
New Journal of Physics, 2021 In a recent paper (2014 New J. Phys. 16 093008) Barnett discussed the so-called optical Dirac equation and referred to the involved wave function as a spinor. But as he claimed explicitly, he did not really associate that wave function with a true spinor.
Xiao-Lu You, Chun-Fang Li
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Lorentz Invariance Violation and Modified Hawking Fermions Tunneling Radiation
Advances in High Energy Physics, 2016 Recently the modified Dirac equation with Lorentz invariance violation has been proposed, which would be helpful to resolve some issues in quantum gravity theory and high energy physics.
Shu-Zheng Yang +3 more
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Characterization of the non-homogenous Dirac-harmonic equation
Journal of Inequalities and Applications, 2021 We introduce the non-homogeneous Dirac-harmonic equation for differential forms and characterize the basic properties of solutions to this new type of differential equations, including the norm estimates and the convergency of sequences of the solutions.
Guannan Shi, Shusen Ding, Bing Liu
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Construction of Dirac spinors for electron vortex beams in background electromagnetic fields
Physical Review Research, 2021 Exact solutions of the Dirac equation, a system of four partial differential equations, are rare. The vast majority of them are for highly symmetric stationary systems. Moreover, only a handful of solutions for time dependent dynamics exists.
Andre G. Campos +2 more
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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
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Fermi-Bose duality of the Dirac equation and extended real Clifford-Dirac algebra
Condensed Matter Physics, 2010 We have proved on the basis of the symmetry analysis of the standard Dirac equation with nonzero mass that this equation may describe not only fermions of spin 1/2 but also bosons of spin 1.
I.Yu. Krivsky, V.M. Simulik
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