Induced Representation of the Poincaré Group on the Lattice: Spin 1/2 and 1 Case
Miguel Lorente and
Peter Kramer
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Miguel Lorente: Universidad de Oviedo, Departamento de Física
Peter Kramer: Universität Tübingen, Institut für Theoretische Physik
A chapter in Symmetries in Science X, 1998, pp 179-195 from Springer
Abstract:
Abstract Following standard methods we explore the representation of the discrete Poincaré group, the semidirect product of discrete translations and integral Lorentz transformations, using the Wigner-Mackey construction restricted to the momentum and position space on the lattice. The orbit condition, irreducibility and asymptotic limit are discussed.
Keywords: Dirac Equation; Momentum Space; Coxeter Group; Position Space; Dirac Representation (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4899-1537-5_11
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DOI: 10.1007/978-1-4899-1537-5_11
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