Spin in stationary gravitational fields and rotating frames

Journal Article · Wed Mar 24 04:00:00 EDT 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3382315· OSTI ID:21371317

Obukhov, Yuri N ^[1]; Silenko, Alexander J ^[2]; Teryaev, Oleg V ^[3]

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1. Institute for Theoretical Physics, University of Cologne, Koeln 50923 (Germany)
2. Research Institute of Nuclear Problems, Belarusian State University, Minsk 220080 (Belarus)
3. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna 141980 (Russian Federation)

A spin motion of particles in stationary spacetimes is investigated in the framework of the classical gravity and relativistic quantum mechanics. We bring the Dirac equation for relativistic particles in nonstatic spacetimes to the Hamiltonian form and perform the Foldy-Wouthuysen transformation. We show the importance of the choice of tetrads for description of spin dynamics in the classical gravity. We derive classical and quantum mechanical equations of motion of the spin for relativistic particles in stationary gravitational fields and rotating frames and establish the full agreement between the classical and quantum mechanical approaches.

• OSTI ID: 21371317
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1205; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
CANONICAL TRANSFORMATIONS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ENERGY RANGE
EQUATIONS
EQUATIONS OF MOTION
FIELD EQUATIONS
FIELD THEORIES
FOLDY-WOUTHUYSEN TRANSFORM
GRAVITATION
GRAVITATIONAL FIELDS
GRAVITATIONAL WAVES
HAMILTONIANS
MATHEMATICAL OPERATORS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
QUANTUM MECHANICS
QUANTUM OPERATORS
RELATIVISTIC RANGE
SPACE-TIME
SPIN
TRANSFORMATIONS
WAVE EQUATIONS