The ground state problem for a quantum Hamiltonian model describing friction

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dc.creatorBruneau, L.
dc.date2003-06-03
dc.date.accessioned2026-07-07T04:30:14Z
dc.date.available2026-07-07T04:30:14Z
dc.descriptionIn this paper, we consider the quantum version of the hamiltonian model describing friction introduced in [BDB]. This model consists of a particle which interacts with a bosonic reservoir representing a homogeneous medium through which the particle moves. We show that if the particle is confined, then the Hamiltonian admits a ground state if and only if a suitable infrared condition is satisfied. The latter is violated in the case of linear friction, but satisfied when the friction force is proportional to a higher power of the particle speed.
dc.description34 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0306011
dc.identifierhttp://arxiv.org/abs/math-ph/0306011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57403
dc.subjectMathematical Physics
dc.titleThe ground state problem for a quantum Hamiltonian model describing friction
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