1992/01/02 by F. Bonechi, Francesco Bonechi, E. Celeghini +3 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #Quantum many-body systems #hep-th
paper · pdf · doi:10.1103/physrevlett.68.3718
published as Phys.Rev.Lett. 68 (1992) 3718-3720 · 5 pags. 0 figs
arxiv created 1992/01/02 · openalex publication_date 1992/06/22 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01
The quantum-deformed (1+1) Poincar'e algebra is shown to be the kinematical symmetry of the harmonic chain, whose spacing is given by the deformation parameter. Phonons with their symmetries as well as multiphonon processes are derived from the quantum group structure. Inhomogeneous quantum groups are thus proposed as kinematical invariances of discrete systems.