Spinorial relativistic rotator: The transformation from quasi-Newtonian to Minkowski coordinates

Journal Article · Sun Jul 15 00:00:00 EDT 1984 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.30.409· OSTI ID:6739885

Biedenharn, L C; Bohm, A; Tarlini, M; van Dam, H; Mukunda, N

There exists a remarkably close relationship between the operator algebra of the Dirac equation and the corresponding operators of the spinorial relativistic rotator (an indecomposable object lying on a mass-spin Regge trajectory). The analog of the Foldy-Wouthuysen transformation (more generally, the transformation between quasi-Newtonian and Minkowski coordinates) is constructed and explicit results are discussed for the spin and position operators. Zitterbewegung is shown to exist for a system having only positive energies.

• Research Organization: Center for Particle Theory, The University of Texas at Austin, Austin, Texas 78712
• DOE Contract Number: AS05-76ER03992
• OSTI ID: 6739885
• Journal Information: Phys. Rev. D; (United States), Vol. 30:2
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
MINKOWSKI SPACE
ROTATION
DIRAC EQUATION
FOLDY-WOUTHUYSEN TRANSFORM
REGGE TRAJECTORIES
RELATIVITY THEORY
SPACE-TIME
SPIN
SPINORS
ANGULAR MOMENTUM
CANONICAL TRANSFORMATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
MATHEMATICAL SPACE
MOTION
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
SPACE
TRANSFORMATIONS
WAVE EQUATIONS
645201* - High Energy Physics- Particle Interactions & Properties-Theoretical- General & Scattering Theory