Klein-Gordon and Dirac gyroscopes
Quantum Physics
2014-11-18 v3 High Energy Physics - Theory
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.
Cite
@article{arxiv.0805.3127,
title = {Klein-Gordon and Dirac gyroscopes},
author = {Emerson Sadurni},
journal= {arXiv preprint arXiv:0805.3127},
year = {2014}
}
Comments
13 pages, no figures. Accepted for publication in J Phys A: Math Theor