2015/10/05 by Diego Julio Cirilo-Lombardo, Cirilo-Lombardo, Diego Julio
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum and Classical Electrodynamics #Quantum chaos and dynamical systems
paper · pdf · doi:10.48550/arxiv.1510.02123
openalex publication_date 2015/10/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is commonly claimed in the recent literature that certain solutions to\nwave equations of positive energy of Dirac-type with internal variables are\ncharacterized by a non-thermal spectrum. As part of that statement, it was said\nthat the transformations and symmetries involved in equations of such type\ncorrespond to a particular representation of the Lorentz group. In this paper\nwe give the general solution to this problem emphasizing the interplay between\nthe group structure, the corresponding algebra and the physical spectrum. This\nanalysis is completed with a strong discussion and proving that: i) the\nphysical states are represented by coherent states; ii) the solutions in\nprevious references [1] are not general, ii) the symmetries of the considered\nphysical system in [1] (equations and geometry) do not correspond to the\nLorentz group but to the fourth covering: the Metaplectic group Mp(n).\n