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Integrable Hamiltonian systems with vector potentials | | Giuseppe Pucacco
; Kjell Rosquist
; | | Date: |
28 May 2004 | | Subject: | Exactly Solvable and Integrable Systems | nlin.SI | | Abstract: | We investigate integrable 2-dimensional Hamiltonian systems with scalar and vector potentials, admitting second invariants which are linear or quadratic in the momenta. In the case of a linear second invariant, we provide some examples of weakly-integrable systems. In the case of a quadratic second invariant, we recover the classical strongly-integrable systems in Cartesian and polar coordinates and provide some new examples of integrable systems in parabolic and elliptical coordinates. | | Source: | arXiv, nlin.SI/0405065 | | Services: | Forum | Review | PDF | Favorites | |
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