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We calculate correlation functions for a relativistic Einstein-Podolsky-Rosen-type experiment with massive Dirac particles. We take the influence of the Newton-Wigner localization into account and perform the calculations for a couple of…

Quantum Physics · Physics 2015-06-17 Paweł Caban , Jakub Rembieliński , Patrycja Rybka , Piotr Witas

We calculate the relativistic correlation function for a hybrid system of a photon and a Dirac-particle. Such a system can be produced in decay of another spin-1/2 fermion. We show, that the relativistic correlation function, which depends…

Quantum Physics · Physics 2015-05-20 Paweł Caban , Jakub Rembieliński , Piotr Witas , Marta Włodarczyk

In this paper we calculate with full details Einstein-Podolsky-Rosen spin correlations in the framework of nonrelativistic quantum mechanics. We consider the following situation: two-particle state is prepared (we consider separately…

Quantum Physics · Physics 2007-05-23 P. Caban , J. Rembielinski , K. A. Smolinski , Z. Walczak

We show that configurations exist in which the correlation functions and the degree of violation of Bell-type inequalities in the relativistic Einstein-Podolsky-Rosen (EPR) experiment have local extrema for some values of the velocities of…

Quantum Physics · Physics 2009-04-07 Paweł Caban , Jakub Rembieliński , Marta Włodarczyk

The effect of the relativistic spin rotation, conditioned by the setting of the spin in the rest frame of a particle and by the noncommutativity of the Lorentz transformations along noncolinear directions, is discussed. In connection with…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Lednicky , V. L. Lyuboshitz , V. V. Lyuboshitz

The formula for the correlation function of spin measurements of two particles in two moving inertial frames is derived within Lorentz-covariant quantum-mechanics formulated in the absolute synchronization framework. The results are the…

Quantum Physics · Physics 2007-05-23 Jakub Rembielinski , Kordian Andrzej Smolinski

The effect of the relativistic spin rotation on two--particle spin states, conditioned by the setting of the spins of the particles in their rest frames and by the noncommutativity of the Lorentz transformations along noncolinear…

High Energy Physics - Phenomenology · Physics 2009-11-10 R. Lednicky , V. L. Lyuboshitz , V. V. Lyuboshitz

We calculate correlation function in the Einstein--Podolsky--Rosen type of experiment with massive relativistic Dirac particles in the framework of the quantum field theory formalism. We perform our calculations for states which are…

Quantum Physics · Physics 2008-11-26 Pawel Caban , Jakub Rembielinski

We analyze algebraic structure of a relativistic semi-classical Wigner function of particles with spin 1/2 and show that it consistently includes information about the spin density matrix both in two-dimensional spin and four-dimensional…

Nuclear Theory · Physics 2020-06-24 Wojciech Florkowski , Avdhesh Kumar , Radoslaw Ryblewski

In this paper we explore the entanglement of two relativistic spin-$1/2$ particles with continuous momenta. The spin state is described by the Bell state and the momenta are given by Gaussian distributions of product form. Transformations…

Quantum Physics · Physics 2019-01-23 Veiko Palge , Jacob Dunningham , Stefan Groote , Hannes Liivat

Particle spin polarization is known to be linked both to rotation (angular momentum) and magnetization of a many particle system. However, in the most common formulation of relativistic kinetic theory, the spin degrees of freedom appear…

Nuclear Theory · Physics 2021-08-04 Leonardo Tinti , Wojciech Florkowski

Using the complete orthonormal basis sets of nonrelativistic and quasirelativistic orbitals introduced by the author in previous papers for particles with arbitrary spin the new analytical relations for the -component relativistic tensor…

Chemical Physics · Physics 2007-12-27 I. I. Guseinov

The nonrelativistic singlet state average $\langle \psi|{\vec a}\cdot\vec \sigma\otimes {\vec b}\cdot\vec \sigma|\psi\rangle =-\vec a\cdot\vec b $ can be relativistically generalized if one defines spin {\it via\/} the relativistic…

Quantum Physics · Physics 2007-05-23 Marek Czachor

We analyze multipartite entanglement in systems of spin-1/2 particles from a relativistic perspective. General conditions which have to be met for any classification of multipartite entanglement to be Lorentz invariant are derived, which…

Quantum Physics · Physics 2012-02-01 Marcus Huber , Nicolai Friis , Andreas Gabriel , Christoph Spengler , Beatrix C. Hiesmayr

The EPRB experiment with massive partcles can be formulated if one defines spin in a relativistic way. Two versions are discussed: The one using the spin operator defined via the relativistic center-of-mass operator, and the one using the…

Quantum Physics · Physics 2009-10-30 Marek Czachor

We study a nonrelativistic system made of two quantum particles constrained to move on a line and a spin located at a fixed point of the line. Initially the two particles are in a maximally entangled state and the spin is down. The first…

Mathematical Physics · Physics 2026-02-25 Riccardo Adami , Luigi Barletti , Alessandro Teta

We derive relativistic second-order dissipative fluid-dynamical equations of motion for massive spin-1/2 particles from kinetic theory using the method of moments. Besides the usual conservation laws for charge, energy, and momentum, such a…

Nuclear Theory · Physics 2022-11-23 Nora Weickgenannt , David Wagner , Enrico Speranza , Dirk Rischke

A local realistic model for quantum mechanics of two-particle Einstein-Podolsky-Rosen pairs is proposed. In this model, it is the strict obedience of conservation laws in each event at the quantum level that uphold the perfect correlation…

Quantum Physics · Physics 2007-05-23 Zhi-Yuan Li

In this study, the spin-momentum correlation of one massive spin-1/2 and spin-1 particle states, which are made based on projection of a relativistic spin operator into timelike direction is investigated. It is shown that by using…

Quantum Physics · Physics 2012-05-03 M. A. Jafarizadeh , M. Mahdian

We study special relativistic effects on the entanglement between either spins or momenta of composite quantum systems of two spin-1/2 massive particles, either indistinguishable or distinguishable, in inertial reference frames in relative…

Quantum Physics · Physics 2012-09-14 C. Cafaro , S. Capozziello , S. Mancini
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