Contact Hamiltonian mechanics

Contact Hamiltonian mechanics

In this work we introduce contact Hamiltonian mechanics, an extension of symplectic Hamiltonian mechanics, and show that it is a natural candidate for a geometric description of non-dissipative and dissipative systems. For this purpose we review in detail the major features of standard symplectic Ha...

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Veröffentlicht in:Annals of physics 2017-01, Vol.376, p.17-39
Hauptverfasser: Bravetti, Alessandro, Cruz, Hans, Tapias, Diego
Format: Artikel
Sprache:eng
Schlagworte:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Contact geometry
Dissipative systems
GEOMETRY
Hamiltonian mechanics
HAMILTONIANS
MECHANICS
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Zusammenfassung:In this work we introduce contact Hamiltonian mechanics, an extension of symplectic Hamiltonian mechanics, and show that it is a natural candidate for a geometric description of non-dissipative and dissipative systems. For this purpose we review in detail the major features of standard symplectic Hamiltonian dynamics and show that all of them can be generalized to the contact case.
ISSN:0003-4916
1096-035X
DOI:10.1016/j.aop.2016.11.003