Hamiltonian treatment of time dispersive and dissipative media within the linear response theory

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dc.creatorFigotin, A.
dc.creatorSchenker, J. H.
dc.date2004-10-18
dc.date2006-01-24
dc.date.accessioned2026-07-07T13:08:07Z
dc.date.available2026-07-07T13:08:07Z
dc.descriptionWe develop a Hamiltonian theory for a time dispersive and dissipative (TDD) inhomogeneous medium, as described by a linear response equation respecting causality and power dissipation. The canonical Hamiltonian constructed here exactly reproduces the original dissipative evolution after integrating out auxiliary fields. In particular, for a dielectric medium we obtain a simple formula for the Hamiltonian and closed form expressions for the energy density and energy flux involving the auxiliary fields. The developed approach also allows to treat a long standing problem of scattering from a lossy non-spherical obstacle and, more generally, wave propagation in TDD media.
dc.description12 pages, 1 figure, second revised version with clarifications of some points, improved discussion of weakly dispersive media, and discussion of dilation theory. 3rd revision a few typos corrected and discussion of canonical heat bath added
dc.identifierhttps://arxiv.org/abs/physics/0410127
dc.identifierhttp://arxiv.org/abs/physics/0410127
dc.identifierJ. Comp. Appl. Math. 204 (2007), 199-208
dc.identifierdoi:10.1016/j.cam.2006.01.038
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228319
dc.subjectClassical Physics
dc.subjectMathematical Physics
dc.subjectGeneral Physics
dc.titleHamiltonian treatment of time dispersive and dissipative media within the linear response theory
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