Canonical formalism and equations of motion for a spinning particle in general relativity
A canonical formalism for spinning particles suitable for the formulations of a general relativistic covariant statistical mechanics of particles endowed with spin is developed. For that purpose the bracket for internal and external variables is given. In particular, limiting consideration to the spin tensor S/sup ..mu..v/, it has been possible to define momenta that are the true conjugates to the position variables. For the case considered the Hamiltonian function in addition to the invariant mass involves only one additional scalar. The equations of motion are then found by calculating the brackets of the dynamical variables with that Hamiltonian, and are compared to those obtained by other methods. The conjugate variables in the internal space that has to be adjoined to the (eight-dimensional) phase space for a complete covariant description of spinning particles are also given.
- Research Organization:
- International Centre for Theoretical Physics, Trieste (Italy)
- OSTI ID:
- 6759359
- Journal Information:
- Int. J. Theor. Phys.; (United States), Journal Name: Int. J. Theor. Phys.; (United States) Vol. 27:3; ISSN IJTPB
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR MOMENTUM
CANONICAL TRANSFORMATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
FIELD THEORIES
GENERAL RELATIVITY THEORY
HAMILTONIANS
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
PARTICLE PROPERTIES
PHASE SPACE
QUANTUM OPERATORS
SCALARS
SPACE
SPACE-TIME
SPIN
STATISTICAL MECHANICS
TENSORS
TRANSFORMATIONS