Isochronic potentials and new family of superintegrable systems
| Autor: | Cezary Gonera |
|---|---|
| Rok vydání: | 2004 |
| Předmět: |
Pure mathematics
Integrable system Mathematical analysis Degrees of freedom General Physics and Astronomy Statistical and Nonlinear Physics Type (model theory) Hamiltonian system law.invention Nonlinear Sciences::Exactly Solvable and Integrable Systems law Scheme (mathematics) Cartesian coordinate system Superintegrable Hamiltonian system Mathematical Physics Mathematics |
| Zdroj: | Journal of Physics A: Mathematical and General. 37:4085-4095 |
| ISSN: | 1361-6447 0305-4470 |
| Popis: | A general scheme for constructing superintegrable systems for separated Hamiltonians in an arbitrary number of degrees of freedom is presented. The resulting family contains previously known superintgrable systems with separated Hamiltonians (in Cartesian coordinates at least); however, in general, the models belonging to the family admit additional integrals which are nonpolynomial functions of momenta. An application of the method for the construction of superintegrable models of Liouville type is described. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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