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The fact that the Dirac equation is linear in the space and time derivatives leads to the coupling of spin and orbital angular momenta that is of a pure relativistic nature. We illustrate this fact by computing the solutions of the Dirac…

Physics Education · Physics 2009-10-31 P. Alberto , M. Fiolhais , M. Oliveira

The formalism of two coupled Dirac equations within constraint instant form dynamics is used to study the nucleon-nucleon interaction. The salient features and the final Schroedinger type equation is given. Explicitly energy dependent…

Nuclear Theory · Physics 2007-05-23 H. V. von Geramb , B. Davaadorj , St. Wirsching

The neutron electric dipole moment is investigated in a supersymmetric electroweak model admitting $ {\rm SU(2)}_W $ singlet and $ Q = -1/3 $, say $ D $-type, quarks. Significant $ CP $ violating phases appear in the coupling between the…

High Energy Physics - Phenomenology · Physics 2009-10-28 Yoshiya Takeda , Isao Umemura , Katsuji Yamamoto , Dai Yamazaki

We consider the contribution of sterile neutrinos to the electric dipole moment of charged leptons in the most minimal realisation of the Inverse Seesaw mechanism, in which the Standard Model is extended by two right-handed neutrinos and…

High Energy Physics - Phenomenology · Physics 2018-04-10 Asmaa Abada , Takashi Toma

By the large and small wave-function components approach we achieved the nonrela-tivistic limit of the Dirac equation in interaction with an electromagnetic potential in noncommutative phase-space, and we tested the effect of the…

Quantum Physics · Physics 2018-09-18 Ilyas Haouam

We present a microscopic approach for the coupling of cortical activity, as resulting from proper dipole currents of pyramidal neurons, to the electromagnetic field in extracellular fluid in presence of diffusion and Ohmic conduction. As a…

Disordered Systems and Neural Networks · Physics 2012-09-04 Peter beim Graben , Serafim Rodrigues

We consider a quantum dot described by a cylindrically symmetric 2D Dirac equation. The potentials representing the quantum dot are taken to be of different types of potential configuration, scalar, vector and pseudo-scalar to enable us to…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Youness Zahidi , Ahmed Jellal , Hocine Bahlouli , Mohammed El Bouziani

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

The Dirac equation for an electron in a finite dipole potential has been studied within the method of linear combination of atomic orbitals (LCAO). The Coulomb potential of the nuclei that compose a dipole is regularized, by considering the…

Strongly Correlated Electrons · Physics 2017-07-27 O. O. Sobol

Invariance under time translation (or stationarity) is probably one of the most important assumptions made when investigating electromagnetic phenomena. Breaking this assumption is expected to open up novel possibilities and result in…

Applied Physics · Physics 2021-10-06 M. S. Mirmoosa , T. T. Koutserimpas , G. A. Ptitcyn , S. A. Tretyakov , R. Fleury

After reviewing the algebraic derivation of the Doppler factor in the Lienard-Wiechert potentials of an electrically charged point particle, we conclude that the Dirac delta function used in electrodynamics must be the one obeying the weak…

Classical Physics · Physics 2023-05-03 Calin Galeriu

We compute the expectation value of the energy-momentum tensor in the in-vacuum state of the quantized Dirac field coupled to a uniform electric field background on the Poincar$\rm\acute{e}$ path of the two dimensional de~Sitter spacetime…

High Energy Physics - Theory · Physics 2020-04-29 Manizheh Botshekananfard , Ehsan Bavarsad

Radiation from magnetic and electric dipole moments is a key subject in theory of electrodynamics. Although people treat the problem thoroughly in the context of frequency domain, the problem is still not well understood in the context of…

Classical Physics · Physics 2020-07-15 M. S. Mirmoosa , G. A. Ptitcyn , R. Fleury , S. A. Tretyakov

The supersymmetric quantum mechanics of a two-dimensional non-relativistic particle subject to external magnetic and electric fields is studied in a superfield formulation and with the typical non-minimal coupling of (2+1) dimensions. Both…

High Energy Physics - Theory · Physics 2009-11-10 Ricardo C. Paschoal , José A. Helayël-Neto , Leonardo P. G. de Assis

The semiclassical kinetic theory of Dirac particles in the presence of external electromagnetic fields and global rotation is established. To provide the Hamiltonian formulation of Dirac particles a symplectic two-form which is a matrix in…

High Energy Physics - Theory · Physics 2017-05-02 O. F. Dayi , E. Kilincarslan , E. Yunt

We consider a bound system of particles interacting via electromagnetic forces in an external electromagnetic field, including leading relativistic corrections. Each particle has a definite mass, charge, spin, and charge radius. We…

Atomic Physics · Physics 2015-06-22 Albert Wienczek , Mariusz Puchalski , Krzysztof Pachucki

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

The rotating frame is considered in quantum mechanics on the basis of the position dependent boost relating this frame to the non rotating inertial frame. We derive the Sagnac phase shift and the spin coupling with the rotation in the non…

Quantum Physics · Physics 2007-05-23 Jeeva Anandan , Jun Suzuki

We propose the entanglement dipole polarization to describe the topological quadrupole phase. The quadrupole moment can be regarded as a pair of the dipole moment, in which the total dipole moment is canceled. The entanglement polarization,…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 T. Fukui , Y. Hatsugai

Based on the Dirac equations in the two-dimensional $\pi-$ flux model, we study the interaction effects both in nontrivial gapped and gapless Dirac equations with numerical exact diagonalization method. In the presence of the nearest and…

Strongly Correlated Electrons · Physics 2015-06-15 Yongfei Jia , Huaiming Guo , Ziyu Chen , Shun-Qing Shen , Shiping Feng