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The Foldy-Wouthuysen transformation for relativistic spin-1 particles interacting with nonuniform electric and uniform magnetic fields is performed. The Hamilton operator in the Foldy-Wouthuysen representation is determined. It agrees with…

High Energy Physics - Theory · Physics 2007-05-23 Alexander J. Silenko

We have shown the covariant relativistic spin operator is equivalent to the spin operator commuting with the free Dirac Hamiltonian. This implies that the covariant relativistic spin operator is a good quantum observable. The covariant…

Quantum Physics · Physics 2015-06-11 Taeseung Choi

Spintronics directly based on relativistic quantum mechanics is called as relativistic spintronics, which involves the study of active control and manipulation of 4D spin-tensor degrees of freedom via the electromagnetic field tensor. For…

Other Condensed Matter · Physics 2007-05-23 Z. Y. Wang , C. D. Xiong , B. Chen

Laboratory optics, typically dealing with monochromatic light beams in a single reference frame, exhibits numerous spin-orbit interaction phenomena due to the coupling between the spin and orbital degrees of freedom of light. Similar…

Optics · Physics 2018-04-18 D. A. Smirnova , V. M. Travin , K. Y. Bliokh , F. Nori

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 dynamics of relativistic spinning particles in strong external electromagnetic or gravitational fields is discussed. Spin-orbit coupling is shown to affect such relativistic phenomena as time-dilation and perihelion shift. Possible…

High Energy Physics - Theory · Physics 2023-12-12 J. W. van Holten

Recent interest in orbital angular momentum has led to a rapid expansion of research on spin-orbit coupling effects in solids, while also highlighting significant technical challenges. The breaking of rotational symmetry renders the orbital…

Mesoscale and Nanoscale Physics · Physics 2025-07-16 Bumseop Kim , Noejung Park , Kyoung-Whan Kim

The Hamiltonian of relativistic particles with electric and magnetic dipole moments that interact with an electromagnetic field is determined in the Foldy-Wouthuysen representation. Transition to the semiclassical approximation is carried…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. J. Silenko

Although there are several proposals of relativistic spin in the literature, the recognition of intrinsicality as a key characteristic for the definition of this concept is responsible for selecting a single tensor operator that adequately…

Quantum Physics · Physics 2021-07-09 E. R. F. Taillebois , A. T. Avelar

Although there are many proposals of relativistic spin observables, there is no agreement about the adequate definition of this quantity. This problem arises from the fact that, in the present literature, there is no consensus concerning…

Quantum Physics · Physics 2021-02-03 E. R. F. Taillebois , A. T. Avelar

We give a direct link between description of Dirac particles in the abstract framework of unitary representation of the Poincar\'e group and description with the help of the Dirac equation. In this context we discuss in detail the spin…

Mathematical Physics · Physics 2012-06-15 Paweł Caban , Jakub Rembieliński , Marta Włodarczyk

The dynamics of wave packets in a relativistic Dirac oscillator is compared to that of the Jaynes-Cummings model. The strong spin-orbit coupling of the Dirac oscillator produces the entanglement of the spin with the orbital motion similar…

Quantum Physics · Physics 2008-11-26 P. Rozmej , R. Arvieu

We review recent theoretical and experimental developments in spin dynamics and polarization phenomena in relativistic systems, with a particular focus on heavy-ion collisions. The large angular momentum and magnetic field generated in…

Nuclear Theory · Physics 2026-05-14 Sourav Dey , Arpan Das , Hiranmaya Mishra , Amaresh Jaiswal

The concept of the Wigner function is used to construct a semi-classical kinetic theory describing the evolution of the axial-current phase-space density of spin-1/2 particles in the relaxation time approximation. The resulting approach can…

High Energy Physics - Phenomenology · Physics 2021-02-01 Samapan Bhadury , Wojciech Florkowski , Amaresh Jaiswal , Avdhesh Kumar , Radoslaw Ryblewski

In this work, we briefly review the progress made in the formulation of hydrodynamics with spin with emphasis on the application to the relativistic heavy-ion collisions. In particular, we discuss the formulation of hydrodynamics with spin…

High Energy Physics - Phenomenology · Physics 2021-04-29 Samapan Bhadury , Jitesh Bhatt , Amaresh Jaiswal , Avdhesh Kumar

We show that by displacing two optical lattices with respect to each other, we may produce interactions similar to the ones describing ferro-magnetism in condensed matter physics. We also show that particularly simple choices of the…

Quantum Physics · Physics 2009-01-23 Anders Sorensen , Klaus Molmer

Precision experiments, such as the search for a deuteron electric dipole moments using a storage rings like COSY, demand for an understanding of the spin dynamics with unprecedented accuracy. In such an enterprise, numerical predictions…

Accelerator Physics · Physics 2020-03-04 F. Rathmann , N. N. Nikolaev , J. Slim

We present a new treatment for the spin of a massive relativistic particle in the context of quantum information based on a physical interpretation of the Wigner rotations, obtaining different results in relation to the previous works. We…

Quantum Physics · Physics 2012-02-28 Pablo L. Saldanha , Vlatko Vedral

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

Relativistic hydrodynamics has been quite successful in describing the properties of strongly-interacting matter produced in heavy-ion collision experiments. Recently, there has been a significant advancement in this field to explain the…

High Energy Physics - Phenomenology · Physics 2023-10-03 Rajeev Singh