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Relativistic treatments of quantum mechanical systems are important for understanding hadronic structure and dynamics at sub-nucleon distance scales. Hadronic states in different inertial reference frames are needed to compute current…

Nuclear Theory · Physics 2019-02-13 W. N. Polyzou

We consider relativistic charged particle dynamics and relativistic magnetohydrodynamics using symplectic structures and actions given in terms of co-adjoint orbits of the Poincar\'e group. The particle case is meant to clarify some points…

High Energy Physics - Theory · Physics 2014-11-19 Dimitra Karabali , V. P. Nair

The investigation of spin and polarization effects in ultra-high intensity laser-plasma and laser-beam interactions has become an emergent topic in high-field science recently. In this paper we derive a relativistic kinetic description of…

Plasma Physics · Physics 2025-01-14 Daniel Seipt , Alec G. R. Thomas

Different classical theories are commonly applied in various branches of physics to describe the relativistic dynamics of electrons by coupled equations for the orbital motion and spin precession. Exemplarily, we benchmark the Frenkel model…

Plasma Physics · Physics 2016-08-24 Meng Wen , Heiko Bauke , Christoph H. Keitel

Spin-orbit interaction couples electron spins to electric fields and allows electrical monitoring of electron spins and electrical detection of spin dynamics. Competing mechanisms of spin-orbit interaction are compared, and optimal…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Emmanuel I. Rashba

New insights into our understanding of the semirelativistic excitation of atomic hydrogen by electronic impact have been made possible by combining the use of polarized electron beams and intense laser field. The paper reviews relativistic…

Atomic Physics · Physics 2012-11-05 S. Taj , B. Manaut , M. El Idrissi , Y. Attaourti , L. Oufni

All relativistic corrections to the Scr{\"o}dinger equation which determine the interlink between spin and orbit of moving particles, are directly calculated from the Dirac equation using the spin invariant operators. It is shown that among…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 A. A. Eremko , L. S. Brizhik , V. M. Loktev

The Proca-Corben-Schwinger equations for a spin-1 particle with an anomalous magnetic moment are added by a term describing an electric dipole moment, then they are reduced to a Hamiltonian form, and finally they are brought to the…

High Energy Physics - Phenomenology · Physics 2013-04-26 Alexander J. Silenko

The dynamics of a large quantum spin coupled parametrically to an optical resonator is treated in analogy with the motion of a cantilever in cavity optomechanics. New spin optodynamic phenonmena are predicted, such as cavity-spin…

Quantum Physics · Physics 2015-05-19 N. Brahms , D. M. Stamper-Kurn

We have limited our interaction scope to those involving particle-s spin. We then develop operators for handling a many-body treatment of the spin interactions. The results presented show how to promote the particles of the system into the…

Strongly Correlated Electrons · Physics 2013-01-01 R. O. Akande , O. E. Oyewande

A lattice system of spinor atoms or molecules experiencing quadratic Zeeman effect is considered. This can be an optical lattice with sufficiently deep wells at lattice sites, so that the system is in an isolating state, where atoms are…

Quantum Gases · Physics 2018-11-21 V. I. Yukalov , E. P. Yukalova

We find all spin operators for a Dirac particle satisfying the following very general conditions: (i) spin does not convert positive (negative) energy states into negative (positive) energy states, (ii) spin is a pseudo-vector, and (iii)…

Quantum Physics · Physics 2013-08-23 Pawel Caban , Jakub Rembieliński , Marta Włodarczyk

We propose a new method of spin squeezing of atomic spin, based on the interactions between atoms and off-resonant light which are known as paramagnetic Faraday rotation and fictitious magnetic field of light. Since the projection process,…

Quantum Physics · Physics 2009-11-10 M. Takeuchi , S. Ichihara , T. Takano , M. Kumakura , T. Yabuzaki , Y. Takahashi

The motion of spinning relativistic particles in external electromagnetic and gravitational fields is considered. A simple derivation of the spin interaction with gravitational field is presented. The self-consistent description of the spin…

General Relativity and Quantum Cosmology · Physics 2008-08-12 I. B. Khriplovich

The majority of current understanding of the quantum correlations is in the field of non-relativistic quantum mechanics. To develop quantum information and computation tasks fully, one must inevitably take into account the relativistic…

Quantum Physics · Physics 2024-04-26 Shrobona Bagchi

We review the recent results on development of vector models of spin and apply them to study the influence of spin-field interaction on the trajectory and precession of a spinning particle in external gravitational and electromagnetic…

General Relativity and Quantum Cosmology · Physics 2017-10-23 Alexei A. Deriglazov , Walberto Guzmán Ramírez

A general method of the Foldy-Wouthyusen (FW) transformation for relativistic particles of arbitrary spin in strong external fields has been developed. The use of the found transformation operator is not restricted by any definite…

Mathematical Physics · Physics 2013-10-31 Alexander J. Silenko

The Bargmann-Michel-Telegdi equation, which describes the precession of the spin of a charged Dirac particle moving in a homogeneous electromagnetic field, is generalized to include also other homogeneous background fields. The treatment…

High Energy Physics - Phenomenology · Physics 2025-09-08 Yunhua Ding , Alan Kostelecky , Arnaldo J. Vargas

We discuss the quantum and classical dynamics of a particle with spin in the gravitational field of a rotating source. A relativistic equation describing the motion of classical spin in curved spacetimes is obtained. We demonstrate that the…

General Relativity and Quantum Cosmology · Physics 2009-11-06 Yuri N. Obukhov , Alexander J. Silenko , Oleg V. Teryaev

The dynamics of wavepackets in a relativistic Dirac oscillator (DO) is considered. A comparison to nonrelativistic spin-orbit pendulum effect is discussed. Particular relativistic effects, like Zitterbewegung in spin motion, are found in…

Quantum Physics · Physics 2007-05-23 M. Turek , P. Rozmej