Pseudo-orthogonal groups and integrable dynamical systems in two dimensions

DOI10.1063/1.532768zbMath0977.37032arXivsolv-int/9810010OpenAlexW2064467693MaRDI QIDQ4701708

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Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9810010

Mathematics Subject Classification ID

Related Items (7)

Superintegrable quantum u(3) systems and higher rank factorizations ⋮ Thermodynamic properties of quantum models based on the complex unitary Cayley-Klein groups ⋮ Non-Hermitian superintegrable systems ⋮ Contracted Hamiltonian on symmetric space \(SU(3)/SU(2)\) and conserved quantities ⋮ Contraction of superintegrable Hamiltonian systems ⋮ Behavior of a constrained particle on superintegrability of the two-dimensional complex Cayley-Klein space and its thermodynamic properties ⋮ Polynomial algebras from su(3) and a quadratically superintegrable model on the two sphere

Cites Work

• Maximal abelian subalgebras of pseudounitary Lie algebras
• Reduction of symplectic manifolds with symmetry
• Classical superintegrable \(SO(p,q)\) Hamiltonian systems
• Normalizability of one-dimensional quasi-exactly solvable Schrödinger operators
• Quasi-exactly-solvable problems and sl(2) algebra
• Completely integrable relativistic Hamiltonian systems and separation of variables in Hermitian hyperbolic spaces
• Separation of Variables for the Hamilton–Jacobi Equation on Complex Projective Spaces
• Subgroups of Lie groups and separation of variables
• Group theory of the Smorodinsky–Winternitz system
• Separation of variables in the Hamilton–Jacobi, Schrödinger, and related equations. II. Partial separation
• Hamiltonian group actions and dynamical systems of calogero type
• Integrable systems based on SU(p,q) homogeneous manifolds
• Contractions of Lie algebras and separation of variables
• Generalized Morse potential: Symmetry and satellite potentials
• Enumeration of Potentials for Which One-Particle Schroedinger Equations Are Separable

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