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Title: Integrable and superintegrable Hamiltonian systems with four dimensional real Lie algebras as symmetry of the systems

We construct integrable and superintegrable Hamiltonian systems using the realizations of four dimensional real Lie algebras as a symmetry of the system with the phase space R{sup 4} and R{sup 6}. Furthermore, we construct some integrable and superintegrable Hamiltonian systems for which the symmetry Lie group is also the phase space of the system.
Authors:
 [1] ;  [2] ;  [1] ;  [3]
  1. Department of Mathematics, Bonab University, Tabriz (Iran, Islamic Republic of)
  2. Department of Physics, Azarbaijan Shahid Madani University, 53714-161 Tabriz (Iran, Islamic Republic of)
  3. (Iran, Islamic Republic of)
Publication Date:
OSTI Identifier:
22250639
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 5; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; FOUR-DIMENSIONAL CALCULATIONS; HAMILTONIANS; LIE GROUPS; PHASE SPACE