The general Racah algebra as the symmetry algebra of generic systems on pseudo-spheres

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KURU Ş., Marquette I., Negro J.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, vol.53, no.40, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 53 Issue: 40
  • Publication Date: 2020
  • Doi Number: 10.1088/1751-8121/abadb7
  • Journal Name: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, INSPEC, zbMATH
  • Keywords: Racah algebra, symmetry algebra, pseudo spheres, superintegrable system, spectrum
  • Ankara University Affiliated: Yes

Abstract

We characterize the symmetry algebra of the generic superintegrable system on a pseudo-sphere corresponding to the homogeneous spaceSO(p,q+ 1)/SO(p,q) wherep+q=N