We investigate integrable two-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. (C) 2005 American Institute of Physics.

Pucacco, G., Rosquist, K. (2005). Integrable Hamiltonian systems with vector potentials. JOURNAL OF MATHEMATICAL PHYSICS, 46(1), 2701-2725 [10.1063/1.1818721].

Integrable Hamiltonian systems with vector potentials

PUCACCO, GIUSEPPE;
2005-01-01

Abstract

We investigate integrable two-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. (C) 2005 American Institute of Physics.
2005
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore FIS/02 - FISICA TEORICA, MODELLI E METODI MATEMATICI
Settore FIS/05 - ASTRONOMIA E ASTROFISICA
Settore MAT/07 - FISICA MATEMATICA
English
Con Impact Factor ISI
ARBITRARY ENERGY; CONFIGURATIONAL INVARIANTS; UNIFIED TREATMENT; MOTION
Pucacco, G., Rosquist, K. (2005). Integrable Hamiltonian systems with vector potentials. JOURNAL OF MATHEMATICAL PHYSICS, 46(1), 2701-2725 [10.1063/1.1818721].
Pucacco, G; Rosquist, K
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/38235
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