Spinning particle in six dimensions

Journal Article · Fri Aug 01 00:00:00 EDT 1997 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.532085· OSTI ID:526897

Lyakhovich, S L; Sharapov, A A; Shekhter, K M ^[1]

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1. Department of Physics, Tomsk State University, Lenin Ave. 36, Tomsk 634050 (Russia)

Massive spinning particle in 6d-Minkowski space is described as a mechanical system with the configuration space R{sup 5,1}{times}CP{sup 3}. The action functional of the model is unambiguously determined by the requirement of identical (off-shell) conservation for the phase-space counterparts of three Casimir operators of the Poincar{acute e} group. The model proves to be completely solvable. Its generalization to the constant curvature background is presented. Canonical quantization of the theory leads to the relativistic wave equations for the irreducible 6d fields. {copyright} {ital 1997 American Institute of Physics.}

• OSTI ID: 526897
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 8 Vol. 38; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ACTION INTEGRAL
CASIMIR OPERATORS
MANY-DIMENSIONAL CALCULATIONS
MINKOWSKI SPACE
PARTICLES
PHASE SPACE
QUANTIZATION
WAVE EQUATIONS