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The propagation properties of spin degrees of freedom are analyzed in the framework of relativistic hydrodynamics with spin based on the de Groot--van Leeuwen--van Weert definitions of the energy-momentum and spin tensors. We derive the…

High Energy Physics - Phenomenology · Physics 2022-09-02 Victor E. Ambrus , Radoslaw Ryblewski , Rajeev Singh

The effect of weak localization on spin relaxation in a two-dimensional system with a spin-split spectrum is considered. It is shown that the spin relaxation slows down due to the interference of electron waves moving along closed paths in…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 I. S. Lyubinskiy , V. Yu. Kachorovskii

The Dirac equation is solved to obtain its approximate bound states for a spin-1/2 particle in the presence of trigonometric Poschl-Teller (tPT) potential including a Coulomb-like tensor interaction with arbitrary spin-orbit quantum number…

Quantum Physics · Physics 2013-08-02 Babatunde J. Falaye , Sameer M. Ikhdair

We have derived the analytic solutions of dissipative relativistic spin hydrodynamics with Gubser expansion. Following the standard strategy of deriving the solutions in a Gubser flow, we take the Weyl rescaling and obtain the…

High Energy Physics - Phenomenology · Physics 2022-10-12 Dong-Lin Wang , Xin-Qing Xie , Shuo Fang , Shi Pu

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

We show that the antisymmetric spinor tensor representation of spin-0 relativistic quantum mechanics provides a conserved current with positive definite timelike component, interpretable as probability density. The construction runs in…

Quantum Physics · Physics 2023-11-14 Tamás Fülöp , Tamás Matolcsi

We derive a closed set of equations for the kinetics and non-equilibrium dynamics of interacting Luttinger Liquids with cubic resonant interactions. In the presence of these interactions, the Luttinger phonons become dressed but still well…

Quantum Gases · Physics 2015-10-07 Michael Buchhold , Sebastian Diehl

Wigner functions are broadly used to probe non-classical effects in the macroscopic world. Here we develop an orbital-free functional framework to compute the 1-body Wigner quasi-probability for both fermionic and bosonic systems. Since the…

Strongly Correlated Electrons · Physics 2024-01-18 Carlos L. Benavides-Riveros

The solvable quantum mechanical model for the relativistic two-body system composed of spin-1/2 and spin-0 particles is constructed. The model includes the oscillator-type interaction through a combination of Lorentz-vector and -tensor…

Quantum Physics · Physics 2009-11-13 D. A. Kulikov , R. S. Tutik

This is a brief introduction on the graduate level to mechanics of various spin relativistic particles with oscillatorlike interaction. This mathematical model proposed by M. Moshinsky could have considerable physical applications for…

High Energy Physics - Theory · Physics 2011-04-15 Valeri V. Dvoeglazov

A well known description of superradiance from pointlike collections of many atoms involves the dissipative motion of a large spin. The pertinent ``superradiance master equation'' allows for a formally exact solution which we subject to a…

Optics · Physics 2009-10-31 Petr A. Braun , Daniel Braun , Fritz Haake , Joachim Weber

Entanglement is studied in the framework of Dyson's S-matrix theory in relativistic quantum field theory, which leads to a natural definition of entangled states of a particle-antiparticle pair and the spin operator from a Noether current.…

Quantum Physics · Physics 2015-06-18 Kazuo Fujikawa , C. H. Oh , Chengjie Zhang

As is well-known, for plasmas of high density and modest temperature, the classical kinetic theory needs to be extended. Such extensions can be based on the Schr\"odinger Hamiltonian, applying a Wigner transform of the density matrix, in…

Plasma Physics · Physics 2021-11-02 Gert Brodin , Jens Zamanian

We derive the relativistic kinetic equation and collision kernel for dense gases of spin $0$ particles from quantum field theory based on the Wigner-function formalism. The formalism developed by Degroot can be used as an effective way for…

High Energy Physics - Phenomenology · Physics 2021-10-26 Jin Hu

The conventional Wigner function is inappropriate in a quantum field theory setting because, as a quasiprobability density over phase space, it is not manifestly Lorentz covariant. A manifestly relativistic variant is constructed as a…

Quantum Physics · Physics 2007-05-23 Peter Morgan

The spin polarization measurements of particles emitted in heavy-ion collisions have opened the possibility for new phenomenological investigations of spin physics in relativistic fluids. The theoretical predictions of global polarization…

Nuclear Theory · Physics 2022-12-13 M. Buzzegoli , F. Becattini , G. Inghirami , I. Karpenko , A. Palermo

A new formulation of relativistic quantum mechanics is proposed in the framework of the rest-frame instant form of dynamics with its instantaneous Wigner 3-spaces and with its description of the particle world-lines by means of derived…

High Energy Physics - Theory · Physics 2015-05-13 David Alba , Horace Crater , Luca Lusanna

We investigate quantum kinetic theory for a massive fermion system under a rotational field. From the Dirac equation in curved space we derive the complete set of kinetic equations for the spin components of the covariant and equal-time…

High Energy Physics - Phenomenology · Physics 2022-11-09 Shile Chen , Ziyue Wang , Pengfei Zhuang

Lienard-Wiechert potentials of the relativistic spinning particle with anomalous magnetic moment in pseudoclassical theory are constructed. General expressions for the Lienard-Wiechert potentials are used for investigation of some specific…

High Energy Physics - Theory · Physics 2009-10-31 S. A. Arakelyan , G. V. Grigoryan , R. P. Grigoryan

The relativistic spinning particle model, proposed in [3,4], is analyzed in a Hamiltonian framework. The spin is simulated by extending the configuration space by introducing a light-like four vector degree of freedom. The model is heavily…

High Energy Physics - Theory · Physics 2009-11-06 Sudipta Das , Subir Ghosh