Contact Hamiltonian Dynamics: The Concept and Its Use by Alessandro Bravetti

“…We give a short survey on the concept of contact Hamiltonian dynamics and its use in several areas of physics, namely reversible and irreversible thermodynamics, statistical physics and classical mechanics. …”
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From Geometry to Coherent Dissipative Dynamics in Quantum Mechanics by Hans Cruz-Prado, Alessandro Bravetti, Angel Garcia-Chung

“…Our proposal consists of extending the standard symplectic picture of quantum mechanics to a contact manifold and then obtaining dissipation by using appropriate contact Hamiltonian dynamics. We work out the case of finite-level systems for which it is shown, by means of the corresponding contact master equation, that the resulting dynamics constitute a viable alternative candidate for the description of this subclass of dissipative quantum systems. …”
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