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A new hydrodynamic framework for particles with spin 1/2, based solely on the conservation laws for charge, energy, momentum and angular momentum, is discussed.

High Energy Physics - Phenomenology · Physics 2017-08-15 Wojciech Florkowski , Bengt Friman , Amaresh Jaiswal , Enrico Speranza

In the semiclassical approximation of Grassmann-valued electric charges for regularizing Coulomb self-energies, we extract the unique acceleration-independent interaction hidden in any Lienard-Wiechert solution for the system of N…

High Energy Physics - Theory · Physics 2014-11-18 D. Alba , H. Crater , L. Lusanna

The energy-momentum and spin tensors for a given theory can be replaced by alternative expressions that obey the same conservation laws for the energy, linear momentum, as well as angular momentum but, however, differ by the local…

High Energy Physics - Theory · Physics 2023-06-16 Sourav Dey , Wojciech Florkowski , Amaresh Jaiswal , Radoslaw Ryblewski

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 Dirac monopole string is specified for de Sitter cosmological model. Dirac equation for spin 1/2 particle in presence of this monopole has been examined on the background of de Sitter space-time in static coordinates. Instead of spinor…

Quantum Physics · Physics 2011-09-15 V. M. Red'kov , E. M. Ovsiyuk , O. V. Veko

In this paper, we introduce a deterministic approach of quantum mechanics for particles with spin 1 2 moving in one dimension. We present a Lagrangian of a spinning particle ($s ={1 \over 2} $), and deduce the expression of the conjugate…

Quantum Physics · Physics 2007-05-23 T. Djama

We show how to relate the full quantum dynamics of a spin-1/2 particle on R^d to a classical Hamiltonian dynamics on the enlarged phase space R^d x S^2 up to errors of second order in the semiclassical parameter. This is done via an…

Mathematical Physics · Physics 2015-03-13 Omri Gat , Max Lein , Stefan Teufel

A new resummation of the $S$-factor of a composite system of two relativistic spin-1/2 particles of arbitrary masses interacting via a Coulomb-like chromodynamical potential is presented. The analysis is performed in the framework of a…

High Energy Physics - Phenomenology · Physics 2020-12-25 Yu. D. Chernichenko , L. P. Kaptari , O. P. Solovtsova

The application range of perfect spin hydrodynamics is studied in two cases: one based on the classical spin description and the other using a quantum spin density matrix (Wigner function). Different forms of the conditions connecting the…

High Energy Physics - Phenomenology · Physics 2026-01-22 Zbigniew Drogosz , Wojciech Florkowski , Valeriya Mykhaylova

Quasi-classical picture of motion of spin 1/2 massive particle in a curved spacetime is built on base of simple Lagrangian model. The one is constructed due to analogy with Lagrangian of massive vector particle. Equations of motion and spin…

General Relativity and Quantum Cosmology · Physics 2007-10-01 A. T. Muminov

The description of particles with spin can be attained by using a spin density matrix in high energy reaction. In this paper we present a parametrization of the spin density matrix for spin -3/2 particles in the Cartesian form. Comparing…

High Energy Physics - Phenomenology · Physics 2020-05-05 Jiao Jiao Song , Wan Ling Chang

We review the calculation of polarization in a relativistic fluid within the framework of statistical quantum field theory. We derive the expressions of the spin density matrix and the mean spin vector both for a single quantum relativistic…

High Energy Physics - Theory · Physics 2023-07-31 F. Becattini

We derive expressions for the vector and tensor components of the spin polarization of massive vector bosons at local thermodynamic equilibrium up to second order in the space-time gradients of the thermodynamic fields pertaining to the…

High Energy Physics - Phenomenology · Physics 2025-07-24 Zhong-Hua Zhang , Xu-Guang Huang , Francesco Becattini , Xin-Li Sheng

Spin-charge separation, a crucial ingredient in 2D models of strongly correlated systems, in mostly considered in condensed matter applications. In this paper we present a relativistic field-theoretic model in which charged particles of…

High Energy Physics - Theory · Physics 2015-06-19 M. C. Diamantini , C. A. Trugenberger

Under the spin-position decoupling approximation, a vector with a phase in 3D orientation space endowed with geometric algebra, substitutes the vector-matrix spin model built on the Pauli spin operator. The standard quantum operator-state…

Quantum Physics · Physics 2022-12-20 Sokol Andoni

An introduction to spin techniques in particle physics is given. Among the topics covered are: helicity formalism and its applications to the decay and scattering of spin-1/2 and spin-1 particles, techniques for evaluating helicity…

High Energy Physics - Phenomenology · Physics 2009-09-25 Howard E. Haber

It is an easily deduced fact that any four-component spin 1/2 state for a massive particle is a linear combination of pairs of two-component simultaneous rotation eigenstates, where `simultaneous' means the eigenspinors of a given pair…

Quantum Physics · Physics 2007-05-23 Richard Shurtleff

We study the motion of a spin 1/2 particle in a scalar as well as a magnetic field within the framework of supersymmetric quantum mechanics(SUSYQM). We also introduce the concept of shape invariant scalar and magnetic fields and it is shown…

Quantum Physics · Physics 2009-10-31 V. M. Tkachuk , P. Roy

The effect of a classical gravitational field on the spin entanglement of a system of two spin-1/2 particles moving in the curved spacetime is discussed. The system is described by a two-particle Gaussian wave packet represented in the…

Quantum Physics · Physics 2010-10-26 Bahram Nasr Esfahani

For relativistic particles with spin 1/2, which are described by the Dirac equation, a semiclassical trace formula is introduced that incorporates expectation values of observables in eigenstates of the Dirac-Hamiltonian. Furthermore, the…

Chaotic Dynamics · Physics 2022-10-12 Jens Bolte