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Wigner formalism for a particle on an infinite lattice: dynamics and spin

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Wigner formalism for a particle on an infinite lattice: dynamics and spin

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dc.contributor.author Hinarejos Doménech, Margarida
dc.contributor.author Bañuls Polo, María Carmen
dc.contributor.author Pérez Cañellas, Armando
dc.date.accessioned 2015-04-10T06:22:40Z
dc.date.available 2015-04-10T06:22:40Z
dc.date.issued 2015
dc.identifier.citation Hinarejos Doménech, Margarida Bañuls Polo, María Carmen Pérez Cañellas, Armando 2015 Wigner formalism for a particle on an infinite lattice: dynamics and spin New Journal of Physics 17 013037-1 013037-16
dc.identifier.uri http://hdl.handle.net/10550/42964
dc.description.abstract The recently proposed Wigner function for a particle in an infinite lattice (Hinarejos M, Banuls MC and Perez A 2012 New J. Phys. 14 103009) is extended here to include an internal degree of freedom as spin. This extension is made by introducing a Wigner matrix. The formalism is developed to account for dynamical processes, with or without decoherence. We show explicit solutions for the case of Hamiltonian evolution under a position-dependent potential, and for evolution governed by a master equation under some simple models of decoherence, for which the Wigner matrix formalism is well suited. Discrete processes are also discussed. Finally, we discuss the possibility of introducing a negativity concept for the Wigner function in the case where the spin degree of freedom is included.
dc.language.iso eng
dc.relation.ispartof New Journal of Physics, 2015, vol. 17, p. 013037-1-013037-16
dc.subject Física
dc.title Wigner formalism for a particle on an infinite lattice: dynamics and spin
dc.type journal article es_ES
dc.date.updated 2015-04-10T06:22:40Z
dc.identifier.doi 10.1088/1367-2630/17/1/013037
dc.identifier.idgrec 102011
dc.rights.accessRights open access es_ES

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