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Spinor representation of Lie algebra for complete linear group
C. V. Usenko, B. I. Lev
Spinor representation of group GL(4,R) on special spinor space is developed. Representation space has a structure of the fiber space with the space of diagonal metricses as the bas…
Quantum cryptography with correlated twin laser beams
Constantin V. Usenko, Vladyslav C. Usenko
The data transmission protocol, based on the use of a strongly correlated pair of laser beams, is proposed. The properties of the corresponding states are described in detail. The…
Relativistic Wigner Function, Charge Variable and Structure of Position Operator
B. I. Lev, A. A. Semenov, C. V. Usenko
The relativistic phase-space representation by means of the usual position and momentum operators for a class of observables with Weyl symbols independent of charge variable (i.e.…
Scalar charged particle in Weyl--Wigner--Moyal phase space. Constant magnetic field
B. I. Lev, A. A. Semenov, C. V. Usenko
A relativistic phase-space representation for a class of observables with matrix-valued Weyl symbols proportional to the identity matrix (charge-invariant observables)is proposed.…
Electron State Entanglement at Double Ionization
V O Hnatovsky, C V Usenko
Electron wave function entanglement and spin reconfiguration as source of electron correlation are investigated. Properties of correlation function are shown to have the best conco…
Possible peculiarities of synchrotron radiation in a strong magnetic field
B. I. Lev, A. A. Semenov, C. V. Usenko
Relativistic quantum effects on physical observables of scalar charged particles are studied. Possible peculiarities of their behavior that can be verified in an experiment can con…