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A review on contact Hamiltonian and Lagrangian systems
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Contact Hamiltonian dynamics is a subject that has still a short history, but with relevant applications in many areas: thermodynamics, cosmology, control theory, and neurogeometry, among others. In recent years there has been a great effort to study this type of dynamics both in theoretical aspects and in its potential applications in geometric mechanics and mathematical physics. This paper is intended to be a review of some of the results that the authors and their collaborators have recently obtained on the subject.
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Cited by 2 Pith papers
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Gauge Symmetries, Contact Reduction, and Singular Field Theories
Singular (gauge) theories with a global scaling symmetry can be reduced to an equivalent frictional theory, and the order of constraint-imposition and scale-reduction does not matter.
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Seven Sphere Quantization
A formal Fedosov-type quantization of the standard contact seven-sphere converges, at Planck constants hbar=1/m, to finite-dimensional unitary representations of U(2,H) and yields quantum dynamical systems on subbundles.
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