2008/05/31 by E. Sadurní, Emerson Sadurni · 1 citation
Physics and Astronomy · #Classical mechanics #Covariant transformation #Dirac (video compression format) #Dirac equation #Gyroscope #Mathematical physics #Physics #Quantum #Quantum Mechanics and Non-Hermitian Physics #Quantum and Classical Electrodynamics #Quantum chaos and dynamical systems #Quantum dynamics #Quantum mechanics #Relativistic quantum mechanics #Relativistic wave equations #Rigid body #Wave function #hep-th #quant-ph
paper · pdf · doi:10.1088/1751-8113/42/1/015209
published as J.Phys.A42:015209,2009 · 13 pages, no figures. Accepted for publication in J Phys A: Math Theor
arxiv created 2008/10/24 · openalex publication_date 2008/11/26 · arxiv updated 2014/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.