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We derive the modified Dirac equation for an electron undergos an influence of the standard model interaction with the nuclear matter. The exact solutions for this equation and the electron energy spectrum in matter are obtained. This…

High Energy Physics - Phenomenology · Physics 2009-11-11 Alexander Grigoriev , Sergey Shinkevich , Alexander Studenikin , Alexei Ternov , Ilya Trofimov

The interaction of an electromagnetic wave with spin (polarized light) and an electron is computed. Specifically the spin flip probability is computed using the Dirac equation for an electron trapped in a uniform magnetic field.

Optics · Physics 2014-05-16 Richard T Hammond

We derive the semiclassical (with accuracy of $\hbar$) motion equation for relativistic electron, which follow from the Dirac equation. We determine both the evolution equation for electron polarization, which takes the non-Abelian Berry…

Quantum Physics · Physics 2007-05-23 K. Yu. Bliokh

The coupling of antimatter to gravity is of general interest because of conceivable cosmological consequences ("surprises") related to dark energy and the cosmological constant. Here, we revisit the derivation of the gravitationally coupled…

High Energy Physics - Phenomenology · Physics 2015-01-04 U. D. Jentschura

We study electroweakly interacting particles in rotating matter. The existence of the electric current along the axis of the matter rotation is predicted in this system. This new galvano-rotational effect is caused by the parity violating…

High Energy Physics - Phenomenology · Physics 2015-05-22 Maxim Dvornikov

It is shown that, for spherically symmetric static backgrounds, a simple reduced Dirac equation can be obtained by using the Cartesian tetrad gauge in Cartesian holonomic coordinates. This equation is manifestly covariant under rotations so…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Ion I. Cotăescu

The Kerr-Newman spinning particle displays some remarkable relations to the Dirac electron and has a reach spinor structure which is based on a twistorial description of the Kerr congruence determined by the Kerr theorem. We consider the…

High Energy Physics - Theory · Physics 2008-11-26 Alexander Burinskii

The motion of circular WP for one electron in central Coulomb field with high Z is calculated. The WP is defined in terms of solutions of the Dirac equation in order to take into account all possible relevant effects in particular the…

Quantum Physics · Physics 2009-11-06 R. Arvieu , P. Rozmej , M. Turek

A pulsar, i.e., a spinning neutron star, with a deformation could emit gravitational waves continuously. Such continuous waves, which have not been detected yet, will be very useful to study gravitational physics and to probe the extreme…

General Relativity and Quantum Cosmology · Physics 2025-12-19 Paritosh Verma , Sudip Bhattacharyya

The field of a traveling circularly polarized electromagnetic wave and a constant magnetic field localizes fermions perpendicularly to propagation of the wave in the cross section of the order of the wavelength. Unusual exact solutions of…

Quantum Physics · Physics 2015-08-24 B. V. Gisin

The Dirac Equation is solved approximately for relativistic generalized Woods-Saxon potential including Coulomb-like tensor potential in exact pseudospin and spin symmetry limits. The bound states energy eigenvalues are found by using…

Nuclear Theory · Physics 2021-01-05 J. Akbar , A. Suparmi , C. Cari

The behavior of massive quantum fields in the general plane wave spacetime and external, non-plane, electromagnetic waves is studied. The asymptotic conditions, the "in" ("out") states and the cross sections are analysed. It is observed…

General Relativity and Quantum Cosmology · Physics 2021-12-17 K. Andrzejewski , P. Kosinski

We derive an equivalent traveling wave form description for Dirac field. In the non-relativistic limit, such form can reduce to inverse-Galilean transformed Schrodinger-type equation. We find that, the resulting two-component…

Quantum Physics · Physics 2022-03-18 Fei Wang

The so-called Dirac oscillator was proposed as a modification of the free Dirac equation which reproduces many of the properties of the simple harmonic oscillator but accompanied by a strong spin-orbit coupling term. It has yet to be…

Quantum Physics · Physics 2014-09-19 C. R. Hagen

General relativistic quantum dynamics of twisted (vortex) Dirac particles is constructed. The Hamiltonian and equations of motion in the Foldy-Wouthuysen representation are derived for a twisted relativistic electron in arbitrary electric…

Classical Physics · Physics 2019-02-20 Alexander J. Silenko , Pengming Zhang , Liping Zou

Electromagnetic soliton-particle with both quasi-static and quick-oscillating wave parts is considered. Its mass, spin, charge, and magnetic moment appear naturally when the interaction with distant solitons is considered. The…

General Physics · Physics 2013-12-20 Alexander A. Chernitskii

It was recently shown that the time variation of the polarization of electromagnetic waves from pulsars can be used, in cross-correlation with pulsar timing, to probe the chirality of an isotropic gravitational wave background. Here, we…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-30 Keisuke Inomata , Marc Kamionkowski

We derive a Dirac-like equation, the asymmetric Dirac equation, where particles and antiparticles sharing the same wave number have different energies and momenta. We show that this equation is Lorentz covariant under proper Lorentz…

High Energy Physics - Phenomenology · Physics 2023-11-30 Gustavo Rigolin

By employing a pseudo-orthonormal coordinate-free approach, the Dirac equation for particles in the Kerr--Newman spacetime is separated into its radial and angular parts. In the massless case to which a special attention is given, the…

High Energy Physics - Theory · Physics 2021-02-15 Ciprian Dariescu , Marina-Aura Dariescu , Cristian Stelea

The effects of a paritcle's spin and electric charge on its angular momentum, energy and radius on the innermost stable circular orbit are investigated based on the particle's equations of motion in a background of the Kerr-Newmann…

General Relativity and Quantum Cosmology · Physics 2019-01-07 Ming Zhang , Wen-Biao Liu