Quantum-Classical Dynamics of Wave Fields

dc.creatorSergi, Alessandro
dc.date2005-11-24
dc.date2007-01-10
dc.date.accessioned2026-07-07T07:39:31Z
dc.date.available2026-07-07T07:39:31Z
dc.descriptionAn approach to the quantum-classical mechanics of phase space dependent operators, which has been proposed recently, is remodeled as a formalism for wave fields. Such wave fields obey a system of coupled non-linear equations that can be written by means of a suitable non-Hamiltonian bracket. As an example, the theory is applied to the relaxation dynamics of the spin-boson model. In the adiabatic limit, a good agreement with calculations performed by the operator approach is obtained. Moreover, the theory proposed in this paper can take nonadiabatic effects into account without resorting to surface-hopping approximations. Hence, the results obtained follow qualitatively those of previous surface-hopping calculations and increase by a factor of (at least) two the time length over which nonadiabatic dynamics can be propagated with small statistical errors. Moreover, it is worth to note that the dynamics of quantum-classical wave fields here proposed is a straightforward non-Hamiltonian generalization of the formalism for non-linear quantum mechanics that Weinberg introduced recently.
dc.descriptionManuscript accepted by The Journal of Chemical Physics
dc.identifierhttps://arxiv.org/abs/quant-ph/0511229
dc.identifierhttp://arxiv.org/abs/quant-ph/0511229
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121476
dc.subjectQuantum Physics
dc.titleQuantum-Classical Dynamics of Wave Fields
dc.typetext

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