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We consider a Dirac one-electron atom placed in a weak, static, uniform magnetic field. We show that, to the first order in the strength B of the external field, the only electric multipole moments, which are induced by the perturbation in…

Atomic Physics · Physics 2016-07-01 Patrycja Stefańska

We study the Dirac equation minimally coupled to general relativity using quantum field theory and the semiclassical gravity approximation. Previous studies of the Einstein-Dirac system did not quantize the Dirac field and required multiple…

General Relativity and Quantum Cosmology · Physics 2023-06-14 Ben Kain

In this paper we will attempt to show that the Dirac theory lends itself to an interpretation in terms of a unified sub-quantum mechanical field theory where, the fundamental force fields are weak electric and weak magnetic fields. We…

General Physics · Physics 2007-05-23 M. R. Mahdavi

Coherent state path integrals are applied to a many-body problem for non-relativistic electrons in a central potential and an external magnetic field; however, in comparison to previous coherent state path integrals, we definitely fix the…

Statistical Mechanics · Physics 2009-06-16 Bernhard Mieck

In this article, it is pointed out that Faraday induction can be treated from an untraditional, particle-based point of view. The electromagnetic fields of Faraday induction can be calculated explicitly from approximate point-charge fields…

Classical Physics · Physics 2015-04-07 Timothy H. Boyer

The problem of neutrino spin rotation in dense matter and in strong electromagnetic fields is solved in accordance with the basic principles of quantum mechanics. We obtain a complete system of wave functions for a massive Dirac neutrino…

High Energy Physics - Phenomenology · Physics 2010-04-06 E. V. Arbuzova , A. E. Lobanov , E. M. Murchikova

Electromagnetic fields are generated in high energy nuclear collisions by spectator valence protons. These fields are traditionally computed by integrating the Maxwell equations with point sources. One might expect that such an approach is…

High Energy Physics - Phenomenology · Physics 2016-12-21 Robert Holliday , Ryan McCarty , Balthazar Peroutka , Kirill Tuchin

The density-functional approach to quantum electrodynamics is extending traditional density-functional theory and opens the possibility to describe electron-photon interactions in terms of effective Kohn-Sham potentials. In this work, we…

Quantum Physics · Physics 2016-02-17 Johannes Flick , Michael Ruggenthaler , Heiko Appel , Angel Rubio

We present a manifestly Lorentz- and SO(2)-Duality-invariant local Quantum Field Theory of electric charges, Dirac magnetic monopoles and dyons. The manifest invariances are achieved by means of the PST-mechanism. The dynamics for classical…

High Energy Physics - Theory · Physics 2009-10-31 K. Lechner , P. A. Marchetti

We use tools from non-standard analysis to formulate the building blocks of quantum field theory within the framework of categorical quantum mechanics. Building upon previous work, we construct an object of *Hilb having quantum fields as…

Quantum Physics · Physics 2019-01-30 Stefano Gogioso , Fabrizio Genovese

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 present how a phase factor is generated when an electric dipole moves along a closed trajectory inside a magnetic field gradient. The similarity of this situation with charged particles in a magnetic field can be employed to simulate…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Jiannis K. Pachos

We give a simple derivation and explanation of a recently proposed new relativistic interaction between the electron and the angular momentum of the electromagnetic field in quantum electrodynamics (QED). Our derivation is based on the work…

Quantum Physics · Physics 2017-03-08 R. F. O'Connell

A general formulation of classical relativistic particle mechanics is presented, with an emphasis on the fact that superluminal velocities and nonlocal interactions are compatible with relativity. Then a manifestly relativistic-covariant…

High Energy Physics - Theory · Physics 2019-11-19 H. Nikolic

A quantal guiding center theory allowing to systematically study the separation of the different time scale behaviours of a quantum charged spinning particle moving in an external inhomogeneous magnetic filed is presented. A suitable set of…

High Energy Physics - Theory · Physics 2008-11-26 P. Maraner

Starting from the Pauli Hamiltonian operator, we derive a scalar quantum kinetic equations for spin-1/2 systems. Here the regular Wigner two-state matrix is replaced by a scalar distribution function in extended phase space. Apart from…

Quantum Gases · Physics 2010-04-21 Jens Zamanian , Mattias Marklund , Gert Brodin

A new scheme of field quantization is proposed. Instead of associating with different frequencies different oscillators we begin with a single oscillator that can exist in a superposition of different frequencies. The idea is applied to the…

Quantum Physics · Physics 2007-05-23 Marek Czachor

A systematic treatment is given of the Dirac quantisation condition for electromagnetic fluxes through two-cycles on a four-manifold space-time which can be very complicated topologically, provided only that it is connected, compact,…

High Energy Physics - Theory · Physics 2009-10-31 Marcos Alvarez , David I. Olive

In many situations, one can approximate the behavior of a quantum system, i.e. a wave function subject to a partial differential equation, by effective classical equations which are ordinary differential equations. A general method and…

Mathematical Physics · Physics 2007-05-23 Martin Bojowald , Aureliano Skirzewski

A generalization of the pseudoclassical action of a spinning particle in the presence of an anomalous magnetic momentum is given. The action is written in reparametrization and supergauge invariant form. The Dirac quantization, based on the…

High Energy Physics - Theory · Physics 2011-03-31 D. M. Gitman , A. V. Saa