000128038 001__ 128038
000128038 005__ 20241125101201.0
000128038 0247_ $$2doi$$a10.1088/1751-8121/aceed5
000128038 0248_ $$2sideral$$a135197
000128038 037__ $$aART-2023-135197
000128038 041__ $$aeng
000128038 100__ $$0(orcid)0000-0003-1697-5710$$aBouthelier-Madre, C.$$uUniversidad de Zaragoza
000128038 245__ $$aHybrid Koopman $C^*$–formalism and the hybrid quantum–classical master equation*
000128038 260__ $$c2023
000128038 5060_ $$aAccess copy available to the general public$$fUnrestricted
000128038 5203_ $$aBased on Koopman formalism for classical statistical mechanics, we propose a formalism to define hybrid quantum–classical dynamical systems by defining (outer) automorphisms of the $C^*$ algebra of hybrid operators and realizing them as linear transformations on the space of hybrid states. These hybrid states are represented as density matrices on the Hilbert space obtained from the hybrid $C^*$–algebra by the GNS construction. We also classify all possible dynamical systems which are unitary and obtain the possible hybrid Hamiltonian operators.
000128038 536__ $$9info:eu-repo/grantAgreement/ES/AEI/PID2021-123251NB-I00$$9info:eu-repo/grantAgreement/ES/DGA-CUS/581-2020$$9info:eu-repo/grantAgreement/ES/DGA/E48-23R$$9info:eu-repo/grantAgreement/ES/DGA-IIU/1408-2018
000128038 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000128038 590__ $$a2.0$$b2023
000128038 592__ $$a0.769$$b2023
000128038 591__ $$aPHYSICS, MULTIDISCIPLINARY$$b48 / 112 = 0.429$$c2023$$dQ2$$eT2
000128038 593__ $$aPhysics and Astronomy (miscellaneous)$$c2023$$dQ1
000128038 591__ $$aPHYSICS, MATHEMATICAL$$b18 / 60 = 0.3$$c2023$$dQ2$$eT1
000128038 593__ $$aModeling and Simulation$$c2023$$dQ2
000128038 593__ $$aStatistics and Probability$$c2023$$dQ2
000128038 593__ $$aStatistical and Nonlinear Physics$$c2023$$dQ2
000128038 593__ $$aMathematical Physics$$c2023$$dQ2
000128038 594__ $$a4.1$$b2023
000128038 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000128038 700__ $$0(orcid)0000-0003-4721-7381$$aClemente-Gallardo, J.$$uUniversidad de Zaragoza
000128038 700__ $$aGonzález-Bravo, L.
000128038 700__ $$0(orcid)0000-0002-6044-0337$$aMartínez-Crespo, D.$$uUniversidad de Zaragoza
000128038 7102_ $$12004$$2405$$aUniversidad de Zaragoza$$bDpto. Física Teórica$$cÁrea Física Teórica
000128038 773__ $$g56, 37 (2023), 374001 [21 pp.]$$pJournal of Physics A-Mathematical and Theoretical$$tJournal of Physics A-Mathematical and Theoretical$$x1751-8113
000128038 8564_ $$s345622$$uhttps://zaguan.unizar.es/record/128038/files/texto_completo.pdf$$yPostprint
000128038 8564_ $$s1669595$$uhttps://zaguan.unizar.es/record/128038/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000128038 909CO $$ooai:zaguan.unizar.es:128038$$particulos$$pdriver
000128038 951__ $$a2024-11-22-12:11:37
000128038 980__ $$aARTICLE