aqora

Logical reformulation of quantum mechanics. II. Interferences and the Einstein-Podolsky-Rosen experiment

Roland Omn�s

Journal of Statistical PhysicsNov 1, 1988176 citations

A relativistic formulation of the Einstein-Podolsky-Rosen paradox

Gerrit J. Smith, Robert Weingard

Foundations of PhysicsFeb 1, 19879 citations

The Relativistic Einstein-Podolsky-Rosen Argument

Michael L. G. Redhead

Jerusalem studies in philosophy and history of scienceJan 1, 20200 citations

Resolving the Einstein, Podolsky, Rosen, Bohm, and Aharonov Paradox with Non-relativistic Quantum Mechanics… for Photons

Lincoln Stoller

Jan 1, 20260 citations

Einstein-Podolsky-Rosen-Bohm experiment with relativistic massive particles

Marek Czachor

Two aspects of the relativistic version of the Einstein-Podolsky-Rosen-Bohm (EPRB) experiment with massive particles are discussed: (a) a possibility of using the experiment as an implicit test of a relativistic center-of-mass concept, and (b) influence of the relativistic effects on degree of violation of the Bell inequality. The nonrelativistic singlet state average 〈\ensuremath{\psi}|a\ensuremath{\cdot}\ensuremath{\sigma}\ensuremath{\bigotimes}b\ensuremath{\cdot}\ensuremath{\sigma}|\ensuremath{\psi}〉=-a\ensuremath{\cdot}b is relativistically generalized by defining spin via the relativistic center-of-mass operator. The corresponding EPRB average contains relativistic corrections which are stronger in magnitude than standard relativistic phenomena such as the time delay, and can be measured in Einstein-Podolsky-Rosen-Bohm-type experiments with relativistic massive spin- particles. The degree of violation of the Bell inequality is shown to depend on the velocity of the pair of spin- particles with respect to the laboratory. Experimental confirmation of the relativistic formula would indicate that for relativistic nonzero-spin particles centers of mass and charge do not coincide. The result may have implications for quantum cryptography based on massive particles.Two aspects of the relativistic version of the Einstein-Podolsky-Rosen-Bohm (EPRB) experiment with massive particles are discussed: (a) a possibility of using the experiment as an implicit test of a relativistic center-of-mass concept, and (b) influence of the relativistic effects on degree of violation of the Bell inequality. The nonrelativistic singlet state average 〈\ensuremath{\psi}|a\ensuremath{\cdot}\ensuremath{\sigma}\ensuremath{\bigotimes}b\ensuremath{\cdot}\ensuremath{\sigma}|\ensuremath{\psi}〉=-a\ensuremath{\cdot}b is relativistically generalized by defining spin via the relativistic center-of-mass operator. The corresponding EPRB average contains relativistic corrections which are stronger in magnitude than standard relativistic phenomena such as the time delay, and can be measured in Einstein-Podolsky-Rosen-Bohm-type experiments with relativistic massive spin- particles. The degree of violation of the Bell inequality is shown to depend on the velocity of the pair of spin- particles with respect to the laboratory. Experimental confirmation of the relativistic formula would indicate that for relativistic nonzero-spin particles centers of mass and charge do not coincide. The result may have implications for quantum cryptography based on massive particles.

arXiv:quant-ph/9609022Physical Review AJan 1, 1997191 citations

Relativistic quantum logic

Peter Mittelstaedt

International Journal of Theoretical PhysicsApr 1, 198323 citations

Analysis of the Einstein-Podolsky-Rosen experiment by relativistic quantum logic

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