Relativistic Wigner Functions as the Expectation Value of the $p_T$ Operator

Dewdney, C.; Holland, P.R.; Kyprianidis, A.; Vigier, J.P.

doi:10.1016/0375-9601(86)90690-0

Relativistic Wigner Functions as the Expectation Value of the $p_T$ Operator

1986

5 pages

Published in:

Phys.Lett.A 114 (1986) 440-444

DOI:

10.1016/0375-9601(86)90690-0

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Abstract: (Elsevier)

We define for the covariant relativistic Schrödinger equation a Hilbert space structure and generalize the Wigner-Moyal formalism to this case. We show how as a result the work of Royer may be generalized to express the relativistic Wigner function as the expectation value of the PT operator, and give an interpretation for the appearance of negative densities in terms of antiparticles.

SCHROEDINGER EQUATION: RELATIVISTIC
PT symmetry
ANTIPARTICLE
QUANTUM MECHANICS: PHASE SPACE
Klein-Gordon equation
FUNCTIONAL ANALYSIS: linear space

References(13)

Figures(0)

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