In nonrelativistic quantum mechanics, Hudson's theorem states that a Gaussian wave function is the only pure state corresponding to a positive Wigner function (WF). We explicitly construct non-Gaussian Dirac spinors with positive relativistic WFs. These pure relativistic states are coherent superpositions of particles and antiparticles, while the existence of positive WFs exclusive composed of particles is conjectured. These observations may open new directions in relativistic quantum information theory.
|Physical Review A - Atomic, Molecular, and Optical Physics
|Published - Sep 24 2014
All Science Journal Classification (ASJC) codes
- Atomic and Molecular Physics, and Optics