Canonical quantization of the D=2n dimensional relativistic spinning particle with anomalous magnetic moment in the external electromagnetic field

Details Canonical quantization of the D=2n dimensional relativistic spinning particle with anomalous magnetic moment in the external electromagnetic field Canonical quantization of the D=2n dimensional relativistic spinning particle with anomalous magnetic moment in the external electromagnetic field

1993-07-14

arxiv.org/abs/hep-th/9307094v2

Phys.Atom.Nucl. 58 (1995) 1072-1076; Yad.Fiz. 58N6 (1995) 1146-1151

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, Preprint YERPHY-1399(10)-93, Yerevan Physics Institute, Republic of Armenia E-mail: ERPHI%ADONIS@SOVAM.COM or %%ER

Scientific paper

The pseudoclassical hamiltonian and action of the $D=2n$ dimensional Dirac particle with anomalous magnetic moment interacting with the external electromagnetic field is found. The Bargmann-Michel-Telegdi equation of motion for the Pauli-Lubanski vector is deduced. The canonical quantization of $D=2n$ dimensional Dirac spinning particle with anomalous magnetic moment in the external electromagnetic field is carried out in the gauge which allows to describe simultaneously particles and antiparticles (massive and massless) already at the classical level. Pseudoclassical Foldy-Wouthuysen transformation is used to obtain canonical (Newton-Wigner) coordinates and in terms of this variables the theory is quantized. The connection of this quantization with the deGroot and Suttorp's description of Dirac particle with anomalous magnetic moment in the external electromagnetic field is discussed.

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