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Transactions of the American Mathematical Society

A Quantum Dynamical, Relativistically Invariant Rigid Body System

Richard F. Arens

Published Jan 1, 1970• 8 citations
Publisher
DOI
10.1090/s0002-9947-1970-0275810-x

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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.