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

Journal Article · Thu May 15 00:00:00 EDT 2014 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4875155· OSTI ID:22250639

Abedi-Fardad, J., E-mail: [e-mail] ^[1]; Rezaei-Aghdam, A., E-mail: [e-mail] ^[2]; Haghighatdoost, Gh., E-mail: [e-mail] ^[1]; Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz ^[3]

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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)

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.

• OSTI ID: 22250639
• Journal Information: Journal of Mathematical Physics, Vol. 55, Issue 5; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
FOUR-DIMENSIONAL CALCULATIONS
HAMILTONIANS
LIE GROUPS
PHASE SPACE