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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 calculate and investigate the relativistic correlation function for bipartite systems of spin-1/2 in vector and spin-1 particles in tensor states. We show that the relativistic correlation function, which depends on particles momenta,…

Quantum Physics · Physics 2015-05-20 Paweł Caban , Jakub Rembieliński , 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 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

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 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

Recent experimental measurements of atomic intensity correlations through atom shot noise suggest that atomic quadrature phase correlations may soon be measured with a similar precision. We propose a test of local realism with mesoscopic…

Other Condensed Matter · Physics 2009-11-10 K. V. Kheruntsyan , M. K. Olsen , P. D. Drummond

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 demonstrate that the Wigner function of the Einstein-Podolsky-Rosen state, though positive definite, provides a direct evidence of the nonlocal character of this state. The proof is based on an observation that the Wigner function…

Quantum Physics · Physics 2009-10-31 Konrad Banaszek , Krzysztof Wodkiewicz

We propose an experiment which can demonstrate quantum correlations in a physical scenario as discussed in the seminal work of Einstein, Podolsky and Rosen. Momentum-entangled massive particles are produced via the four-wave mixing process…

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

Within the framework of relativistic quantum theory, we consider the Einstein-Podolsky-Rosen (EPR) gedanken-experiment in which measurements of the spin are performed by moving observers. We find that the perfect anti-correlation in the…

Quantum Physics · Physics 2007-05-23 Hiroaki Terashima , Masahito Ueda

We show that it is possible to define a Lorentz-covariant reduced spin density matrix for massive particles. Such a matrix allows one to calculate the mean values of observables connected with spin measurements (average polarizations).…

Quantum Physics · Physics 2007-05-23 P. Caban , J. Rembielinski

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

The Einstein-Podolsky-Rosen nonlocality puzzle has been recognized as one of the most important unresolved issues in the foundational aspects of quantum mechanics. We show that the problem is resolved if the quantum correlations are…

Quantum Physics · Physics 2009-11-06 C. S. Unnikrishnan

Einstein-Podolsky-Rosen correlations have so far been measured only between pairs of photons and between pairs of protons. It is proposed to measure these correlations between the proton and the neutron emerging from breakup of the deuteron…

Quantum Physics · Physics 2009-09-25 Arthur Jabs

Conventionally, one interprets the correlations observed in Einstein-Podolsky-Rosen experiments by Bell's inequalities and quantum nonlocality. We show, in this paper, that identical correlations arise, if the phase relations of…

Quantum Physics · Physics 2007-05-23 W. A. Hofer

We formulate the Einstein-Podolsky-Rosen (EPR) gedankenexperiment within the framework of relativistic quantum theory to analyze a situation in which measurements are performed by moving observers. We point out that under certain conditions…

Quantum Physics · Physics 2011-01-11 Hiroaki Terashima , Masahito Ueda

In recent decades it was established that the quantum measurements of physical quantities in space-time points divided by space-like intervals may be correlated. Though such correlation follows from the formulas of quantum mechanics its…

Quantum Physics · Physics 2015-12-14 S. V. Gantsevich , V. L. Gurevich

We calculate the helicity and polarization correlation functions in the Einstein-Podolsky-Rosen-type experiments with relativistic vector bosons. We show that the linear polarization correlation function in the appriopriately chosen state…

Quantum Physics · Physics 2009-04-06 Pawel Caban
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