Partner groups and quantum motion algebras

In this paper an extension of formalism of partner groups is proposed. The partner groups as an algebraic tool for description of laboratory and intrinsic variables are shortly introduced. A natural generalisation of partner groups is recognized as the Quantum Motion Algebra. This algebra is based on a group of motions G of a given quantum system. An example of the limiting case of of the state space L 2 (G,dμ(g)) is also considered. © 2019 Published under licence by IOP Publishing Ltd.

Authors
Pȩdrak A. 1 , Góźdź A. 2 , Gusev A.3 , Vinitsky S. 3, 4 , Deveikis A.5
Conference proceedings
Journal of Physics: Conference Series
Publisher
Institute of Physics Publishing
Number of issue
1
Language
English
Status
Published
DOI
10.1088/1742-6596/1194/1/012088
Number
012088
Volume
1194
Year
2019
Organizations
  • 1 National Centre for Nuclear Research, ul. Hoza 69, Warsaw, 00-681, Poland
  • 2 University of Maria Curie Sklodowska, pl. Marii Sklodowskiej-Curie 5, Lublin, 20-400, Poland
  • 3 Joint Institute for Nuclear Research, Dubna, Russian Federation
  • 4 RUDN University, 6 Miklukho-Maklaya, Moscow, 117198, Russian Federation
  • 5 Department of Applied Informatics, Vytautas Magnus University, Kaunas, Lithuania
Keywords
Quantum optics; Generalisation; Limiting case; Quantum motions; Quantum system; Group theory
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