Integrable Hamiltonian systems with vector potentials

✍ Scribed by Pucacco G., Rosquist K.

• Book ID: 127404539
• Year: 2005
• Tongue: English
• Weight: 165 KB
• Category: Library
• DOI: 10.1063/1.1818721]

✦ Synopsis

We investigate integrable two-dimensional Hamiltonian systems with scalar andvector potentials, admitting second invariants which are linear or quadratic in themomenta. In the case of a linear second invariant, we provide some examples ofweakly integrable systems. In the case of a quadratic second invariant, we recoverthe classical strongly integrable systems in Cartesian and polar coordinates andprovide some new examples of integrable systems in parabolic and ellipticalcoordinates