Klein-Gordon and Dirac gyroscopes

Abstract

The formulation of a rigid body in relativistic quantum mechanics is studied. Departing from an alternate approach at the relativistic classical level, the corresponding Klein-Gordon and Dirac operators for the rigid body are obtained in covariant form. The resulting wave equations are shown to be consistent, by construction, with earlier definitions of a relativistic rigid body by Aldinger et al (1983). Wave functions and spectra for both cases are obtained explicitly, including the Dirac gyroscope with asymmetries.

13 pages, no figures. Accepted for publication in J Phys A: Math Theor

References in corpus (6)

• Centers of Mass and Rotational Kinematics for the Relativistic N-Body Problem in the Rest-Frame Instant Form
• Multipolar Expansions for Closed and Open Systems of Relativistic Particles
• Multipolar Expansions for the Relativistic N-Body Problem in the Rest-Frame Instant Form
• New Directions in Non-Relativistic and Relativistic Rotational and Multipole Kinematics for N-Body and Continuous Systems
• The many body problem in relativistic quantum mechanics
• A Relativistic Wave Equation for the Skyrmion

Cited by in corpus (3)

• Playing relativistic billiards beyond graphene
• Fundamental constraints on two-time physics
• Schematic baryon models, their tight binding description and their microwave realization