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The rich structure of solid state physics provides us with Dirac materials the effective theory of which enjoys the Lorentz symmetry. In non-symmorphic lattices, the Lorentz symmetry will be deformed in a way that the null energy-momentum…

Mesoscale and Nanoscale Physics · Physics 2019-08-08 Zahra Jalali-Mola , S. A. Jafari

An effective approach for solving the three-dimensional Dirac equation for spherically symmetric local interactions, which we have introduced recently, is reviewed and consolidated. The merit of the approach is in producing Schrodinger-like…

Mathematical Physics · Physics 2009-11-07 A. D. Alhaidari

In the present article we show that the energy spectrum of the one-dimensional Dirac equation, in the presence of an attractive vectorial delta potential, exhibits a resonant behavior when one includes an asymptotically spatially vanishing…

High Energy Physics - Theory · Physics 2009-07-22 Victor M. Villalba , Luis A. Gonzalez-Diaz

The mass of an electroweakly interacting neutrino consists of the electric and weak parts responsible for the existence of its charge, charge radius, and magnetic moment. Such connections explain the formation of paraneutrinos, for example,…

General Physics · Physics 2014-10-03 Rasulkhozha S. Sharafiddinov

For usual radiation the integral of the electric field strength over the time is zero. First time the possibility of unipolar radiation generation has been considered theoretically in the paper [EG.Bessonov. Preprint No 76 of the Lebedev…

Accelerator Physics · Physics 2020-12-30 G. Naumenko , M. Shevelev , K. E. Popov

We construct a Dirac equation in $\kappa$-Minkowski spacetime and analyse its implications. This $\kappa$-deformed Dirac equation is expanded as a power series involving derivatives with respect to commutative coordinates and the…

High Energy Physics - Theory · Physics 2011-07-28 E. Harikumar , M. Sivakumar , N. Srinivas

We consider interactions of exact (i.e., solutions of full nonlinear field equations) gravitational waves with matter by using the Einstein-Boltzmann equation. For a gravitational wave interacting with a system of massless particles, we…

General Relativity and Quantum Cosmology · Physics 2025-09-30 Morteza Mohseni , Saurya Das

A neutrino produced in a particle decay maintains an unusual wave nature that reveals a diffraction phenomenon in a large spatial region. Diffraction gives a new component to a neutrino flux in this region and modifies determinations of…

High Energy Physics - Phenomenology · Physics 2012-01-17 Kenzo Ishikawa , Yutaka Tobita

Compatibility of symmetric quantization of the Dirac equation in a curved space with general covariance gives a special representation of the spin connections in which their dot product with the Dirac gamma matrices becomes equal to the…

Quantum Physics · Physics 2017-10-03 A. D. Alhaidari

We study the scattering of Dirac electrons of circular graphene quantum dot with mass-inverted subject to electrostatic potential. The obtained solutions of the energy spectrum are used to determine the scattering coefficients at the…

Mesoscale and Nanoscale Physics · Physics 2022-08-10 Fatima Belokda , Ahmed Jellal , El Houssine Atmani

Three-generation MSW effect in curved spacetime is studied and a brief discussion on the gravitational correction to the neutrino self-energy is given. The modified mixing parameters and corresponding conversion probabilities of neutrinos…

High Energy Physics - Phenomenology · Physics 2016-09-14 Yu-Hao Zhang , Xue-Qian Li

The problem of Dirac's equation in a rotating electromagnetic field can be reduced to the stationary by using a transformation for point rotating reference frames. The general form of the non-Galilean transformation is deduced in the paper.…

Quantum Physics · Physics 2014-08-01 Boris V. Gisin

Spin is a fundamental degree of freedom, whose existence was proven by Dirac for an electron by imposing the relativity to quantum mechanics, leading to the triumph to derive the Dirac equation. Spin of a photon should be linked to…

Optics · Physics 2024-07-23 Shinichi Saito

Electromagnetic processes associated with a charged particle moving in a strong circular magnetic field is considered in cylindrical coordinates. We investigate the relation between the vacuum curvature emission and Cherenkov emission and…

Astrophysics · Physics 2009-10-30 Maxim Lyutikov , George Machabeli , Roger Blandford

Using a fully relativistic theory we study the quantum Vavilov-Cherenkov radiation and quantum friction occurring during relative sliding of the two transparent dielectric plates with the refractive index $n$. These phenomena occur above…

Mesoscale and Nanoscale Physics · Physics 2016-01-19 A. I. Volokitin , B. N. J Persson

Electroweak properties of Dirac neutrinos within the context of the Minimally Extended Standard Model are explored. In particular, the dipolar form factors that result from the radiative correction, at one-loop level, of the $ Z\nu…

High Energy Physics - Phenomenology · Physics 2025-09-30 J. P. Gutiérrez-Montes , J. Montaño-Domínguez , F. Ramírez-Zavaleta , E. S. Tututi , O. Vázquez-Hernández

The relativistic positive-energy wave equation proposed by P. Dirac in 1971 is an old but largely forgotten subject. The purpose of this note is to speculate that particles described by this equation (called here Dirac particles) are…

High Energy Physics - Theory · Physics 2024-06-05 Eugene Bogomolny

In this paper, we derive corrections to the geodesic equation due to the $k$-deformation of curved space-time, up to the first order in the deformation parameter a. This is done by generalizing the method from our previous paper [31], to…

High Energy Physics - Theory · Physics 2013-12-16 E. Harikumar , T. Juric , S. Meljanac

It is shown that the calculation of Dirac operator for the spherical coordinate system with spherical Dirac matrices and using the spin connection formalism is in the contradiction with the definition of standard Dirac operator in the…

General Relativity and Quantum Cosmology · Physics 2012-02-28 Vladimir Dzhunushaliev

The quantum theory of spin light (electromagnetic radiation emitted by a Dirac massive neutrino propagating in dense matter due to the weak interaction of a neutrino with background fermions) is developed. In contrast to the Cherenkov…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. E. Lobanov