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06 July 2020
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Scalar charged particle in Weyl--Wigner--Moyal phase space. Constant magnetic field
B.I. Lev ; A.A. Semenov ; C.V. Usenko ;
Date 22 Dec 2001
Journal Journal of Russian Laser Research (Kluwer Academic/Plenum Publishers) 23, 347--368 (2002)
Subject Quantum Physics; Mathematical Physics | quant-ph hep-th math-ph math.MP
AbstractA relativistic phase-space representation for a class of observables with matrix-valued Weyl symbols proportional to the identity matrix (charge-invariant observables)is proposed. We take into account the nontrivial charge structure of the position and momentum operators. The evolution equation coincides with its analog in relativistic quantum mechanics with nonlocal Hamiltonian under conditions where particle-pair creation does not take place (free particle and constant magnetic field). The differences in the equations are connected with peculiarities of the constraints on the initial conditions. An effective increase in coherence between eigenstates of the Hamiltonian is found and possibilities of its experimental observation are discussed.
Source arXiv, quant-ph/0112146
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