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dc.contributor.authorVourdas, Apostolos*
dc.date.accessioned2016-12-19T11:23:02Z
dc.date.available2016-12-19T11:23:02Z
dc.date.issued2017
dc.identifier.citationVourdas A (2017) Dressed coherent states in finite quantum systems: A cooperative game theory approach. Annals of Physics. 376: 153-181.en_US
dc.identifier.urihttp://hdl.handle.net/10454/11001
dc.descriptionYesen_US
dc.description.abstractA quantum system with variables in Z(d) is considered. Coherent density matrices and coherent projectors of rank n are introduced, and their properties (e.g., the resolution of the identity) are discussed. Cooperative game theory and in particular the Shapley methodology, is used to renormalize coherent states, into a particular type of coherent density matrices (dressed coherent states). The Q-function of a Hermitian operator, is then renormalized into a physical analogue of the Shapley values. Both the Q-function and the Shapley values, are used to study the relocation of a Hamiltonian in phase space as the coupling constant varies, and its effect on the ground state of the system. The formalism is also generalized for any total set of states, for which we have no resolution of the identity. The dressing formalism leads to density matrices that resolve the identity, and makes them practically useful.en_US
dc.language.isoenen_US
dc.relation.isreferencedbyhttps://doi.org/10.1016/j.aop.2016.12.002en_US
dc.rights(c) 2017 Elsevier. Reproduced in accordance with the publisher's self-archiving policy. This manuscript version is made available under the CC-BY-NC-ND 4.0 license (http://creativecommons.org/licenses/by-nc-nd/4.0/)en_US
dc.subjectCoherent states; Finite quantum systemsen_US
dc.titleDressed coherent states in finite quantum systems: A cooperative game theory approachen_US
dc.status.refereedYesen_US
dc.date.Accepted2016-12-01
dc.date.application2016-12-05
dc.typeArticleen_US
dc.type.versionAccepted Manuscripten_US
refterms.dateFOA2017-12-06T12:06:10Z


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