A relativistic variant of the Wigner function

Abstract

The conventional Wigner function is inappropriate in a quantum field theory setting because, as a quasiprobability density over phase space, it is not manifestly Lorentz covariant. A manifestly relativistic variant is constructed as a quasiprobability density over trajectories instead of over phase space.

v3: as accepted by Phys. Lett. A

References in corpus (2)

• There are No Causality Problems for Fermi's Two Atom System
• Phase-space Quantization of Field Theory

Cited by in corpus (5)

• Nonlinear Schrödinger equations from prequantum classical statistical field theory
• Bell inequalities for random fields
• A succinct presentation of the quantized Klein-Gordon field, and a similar quantum presentation of the classical Klein-Gordon random field
• Relativistic probability waves
• Embedding quantum and random optics in a larger field theory