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Diffusion tensor coefficients play a central role in describing cosmic-ray transport in various astrophysical environments permeated with magnetic fields, which are usually modeled as a fluctuating field on top of a mean field. In this…

High Energy Astrophysical Phenomena · Physics 2024-07-09 O. Deligny

We study a system of charged, noninteracting classical particles moving in a Poisson distribution of hard-disk scatterers in two dimensions, under the effect of a magnetic field perpendicular to the plane. We prove that, in the low-density…

Mathematical Physics · Physics 2021-05-10 Alessia Nota , Chiara Saffirio , Sergio Simonella

Schrodinger equation with two-component wave function which describes a relativistic spin 1/2 particle in a weak electromagnetic field is obtained. In the same approximation Schrodinger equation with traditional norm condition and…

High Energy Physics - Theory · Physics 2007-05-23 L. F. Blazhyjevskii , A. Y. Marko

The Stern-Gerlach experiment has played an important role in our understanding of quantum behavior. We propose and analyze a modified version of this experiment where the magnetic field of the detector is in a quantum superposition, which…

Quantum Physics · Physics 2018-03-29 R. G. Daghigh , M. D. Green , C. J. West

We study the motion of a charged particle with magnetic moment in external electromagnetic fields utilizing covariant unification of Gilbertian and Amperian descriptions of particle magnetic dipole moment. Considering the case of a current…

Classical Physics · Physics 2021-06-04 Martin Formanek , Andrew Steinmetz , Johann Rafelski

The domain of wave functions and effective potentials of the Dirac and Klein-Gordon equations for quantum-mechanical particles in static centrally symmetric gravitational fields are analyzed by taking into account the Hilbert causality…

General Relativity and Quantum Cosmology · Physics 2015-04-02 M. V. Gorbatenko , V. P. Neznamov , E. Yu. Popov

There are constructed exact solutions of the quantum-mechanical Dirac equation for a spin S=1/2 particle in the space of constant positive curvature, spherical Riemann space, in presence of an external magnetic field, analogue of the…

Mathematical Physics · Physics 2010-05-21 E. M. Ovsiyuk , V. V. Kisel , V. M. Red'kov

Diffusive transport is a ubiquitous phenomenon, yet the microscopic origin of diffusion in interacting physical systems remains a challenging question, irrespective of whether quantum effects are dominant or not. In this work, we study…

Statistical Mechanics · Physics 2026-04-28 Jiaozi Wang , Sourav Nandy , Markus Kraft , Tomaž Prosen , Robin Steinigeweg

We construct a simple algorithm to derive number density of spin 1/2 particles created in spatially flat FLRW spacetimes and resulting renormalized energy-momentum tensor within the framework of adiabatic regularization. Physical quantities…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Suman Ghosh

Strong field physics close to or above the Schwinger limit are typically studied with vacuum as initial condition, or by considering test particle dynamics. However, with a plasma present initially, quantum relativistic mechanisms such as…

Plasma Physics · Physics 2023-04-05 Gert Brodin , Haidar Al-Naseri , Jens Zamanian , Greger Torgrimsson , Bengt Eliasson

The motion of energetic particles in magnetic turbulence across a mean magnetic field is explored analytically. The approach presented here allows for a full time-dependent description of the transport, including compound sub-diffusion. The…

Plasma Physics · Physics 2017-05-24 Andreas Shalchi

We put forward an operational degree of polarization that can be extended in a natural way to fields whose wave fronts are not necessarily planar. This measure appears as a distance from a state to the set of all its…

Quantum Physics · Physics 2015-06-22 G. Bjork , H. de Guise , A. B. Klimov , P. de la Hoz , L. L. Sanchez-Soto

We derive a system of coupled partial differential equations for the equal-time Wigner function in an arbitrary strong electromagnetic field using the Dirac-Heisenberg-Wigner formalism. In the electrostatic limit, we present a 3+1-system of…

Plasma Physics · Physics 2021-07-21 Haidar Al-Naseri , Jens Zamanian , Gert Brodin

According to theorems of Shnirelman and followers, in the semiclassical limit the quantum wavefunctions of classically ergodic systems tend to the microcanonical density on the energy shell. We here develop a semiclassical theory that…

Recently advocated expressions for the phase-space dependent spin-1/2 density matrices of particles and antiparticles are analyzed in detail and reduced to the forms linear in the Dirac spin operator. This allows for a natural determination…

We examine several effects of an applied magnetic field on Anderson-type models for both single- and two-level quantum dots, and make direct comparison between numerical renormalization group (NRG) calculations and recent conductance…

Strongly Correlated Electrons · Physics 2011-11-03 Christopher J. Wright , Martin R. Galpin , David E. Logan

We discuss the semiclassical and classical character of the dynamics of a single spin 1/2 coupled to a bath of noninteracting spins 1/2. On the semiclassical level, we extend our previous approach presented in D. Stanek, C. Raas, and G. S.…

Mesoscale and Nanoscale Physics · Physics 2014-08-13 Daniel Stanek , Carsten Raas , Götz S. Uhrig

The linear response of itinerant transition metal ferromagnets to transverse magnetic fields is studied in a self-consistent adiabatic local-density approximation. The susceptibility is calculated from a microscopic Hamiltonian, including…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Hans Joakim Skadsem , Yaroslav Tserkovnyak , Arne Brataas , Gerrit E. W. Bauer

In this work, we calculate the solutions of the Rarita-Schwinger equation with the inclusion of the eletromagnetic interaction. Our gauge and coupling prescription choices lead to Dirac-type solutions. One of the consequences of our results…

Mathematical Physics · Physics 2015-07-01 M. G. de Paoli , D. P. Menezes , L. B. Castro , C. C. Barros

The mixed spin-(1/2, 1) Heisenberg dimer accounting for two different Land\'e $g$-factors is exactly examined in presence of external magnetic and electric field by considering exchange as well as uniaxial single-ion anisotropies.…

Quantum Physics · Physics 2023-11-30 Hana Vargová , Jozef Strečka