1996/11/11 by Y. S. Kim, Kim, Y. S.
Engineering · Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #Geophysics and Sensor Technology #High Energy Physics - Theory (hep-th) #Optical Polarization and Ellipsometry #cond-mat #hep-th
paper · pdf · doi:10.48550/arxiv.cond-mat/9611082
13 pages, LaTeX file, no figures; presented at the 4th International School on Theoretical Physics: Symmetry and Structural Properties of Condensed Matter (Zajaczkowo, Poland, August-September, 1996); to be published in the Proceedings
arxiv created 1996/11/11 · openalex publication_date 1996/11/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is shown that the Lorentz group plays prominent roles in at least two areas in condensed matter physics, namely in the Bogoliubov transformation and optical filters. It is pointed out that the underlying symmetry of the Bogoliubov transformation is that of two coupled oscillators, and that the underlying symmetry of two coupled oscillators in that of the group O(3,3). The Lorentz group is also shown to be the underlying symmetry group for the Jones matrix formalism which is standard language for optical filters.