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

Technical Report · Thu Dec 01 00:00:00 EST 1983

OSTI ID:5199470

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. 31 references.

• Research Organization: Texas Univ., Austin (USA). Center for Particle Theory
• DOE Contract Number: AS05-76ER03992
• OSTI ID: 5199470
• Report Number(s): DOE/ER/03992-539; ON: DE84009091
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
MINKOWSKI SPACE
TRANSFORMATIONS
REGGE TRAJECTORIES
DIRAC EQUATION
HADRONS
HAMILTONIANS
MAPPING
MATHEMATICAL OPERATORS
PARTICLE MODELS
POINCARE GROUPS
RELATIVISTIC RANGE
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
ENERGY RANGE
EQUATIONS
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM OPERATORS
SPACE
SYMMETRY GROUPS
WAVE EQUATIONS
645201* - High Energy Physics- Particle Interactions & Properties-Theoretical- General & Scattering Theory