PSEUDOCLASSICAL FOLDY-WOUTHUYSEN TRANSFORMATION AND CANONICAL QUANTIZATION OF (D=2N)-DIMENSIONAL RELATIVISTIC PARTICLE WITH SPIN IN AN EXTERNAL ELECTROMAGNETIC-FIELD

Citation
Gv. Grigoryan et Rp. Grigoryan, PSEUDOCLASSICAL FOLDY-WOUTHUYSEN TRANSFORMATION AND CANONICAL QUANTIZATION OF (D=2N)-DIMENSIONAL RELATIVISTIC PARTICLE WITH SPIN IN AN EXTERNAL ELECTROMAGNETIC-FIELD, Theoretical and mathematical physics, 102(3), 1995, pp. 275-279
Citations number
16
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
ISSN journal
00405779
Volume
102
Issue
3
Year of publication
1995
Pages
275 - 279
Database
ISI
SICI code
0040-5779(1995)102:3<275:PFTACQ>2.0.ZU;2-V
Abstract
The canonical quantization of a (D=2n)-dimensional Dirac particle with spin in an arbitrary external electromagnetic field is performed in a gauge that makes it possible to describe simultaneously particles and antiparticles (both massive and massless) already at the classical le vel. A pseudoclassical Foldy-Wouthuysen transformation is used to find the canonical (Newton-Wigner) coordinates. The connection between thi s quantization scheme and Blount's picture describing the behavior of a Dirac particle in an external electromagnetic field is discussed.