Peculiarities of the Weyl-Wigner-Moyal formalism for scalar charged particles

Citation
Bi. Lev et al., Peculiarities of the Weyl-Wigner-Moyal formalism for scalar charged particles, J PHYS A, 34(20), 2001, pp. 4323-4339
Citations number
35
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
34
Issue
20
Year of publication
2001
Pages
4323 - 4339
Database
ISI
SICI code
0305-4470(20010525)34:20<4323:POTWFF>2.0.ZU;2-E
Abstract
A description of scalar charged particles, based on the Feshbach-Villars fo rmalism, is proposed. Particles ape described by an object that is a Wigner function in usual coordinates and momenta and a density matrix in the char ge variable. It is possible to introduce the usual Wigner function for a la rge class of dynamical variables. Such an approach explicitly contains a me asuring device frame. From our point of view it corresponds to the Copenhag en interpretation of quantum mechanics. It is shown how physical properties of such particles depend on the definition of the coordinate operator. The evolution equation for the Wigner function of a single-charge state in the classical limit coincides with the Liouville equation. Localization peculi arities manifest themselves in specific constraints on possible initial con ditions.