Klein-Gordon and Dirac gyroscopes

Details Klein-Gordon and Dirac gyroscopes Klein-Gordon and Dirac gyroscopes

2008-05-20

arxiv.org/abs/0805.3127v3

J. Phys. A: Math. Theor. 42 015209 (10pp) 2009

Physics

Quantum Physics

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

Scientific paper

10.1088/1751-8113/42/1/015209

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.

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