128038 20241125101201.0 doi 10.1088/1751-8121/aceed5 sideral 135197 ART-2023-135197 eng Bouthelier-Madre, C. Universidad de Zaragoza (orcid)0000-0003-1697-5710 Hybrid Koopman $C^*$–formalism and the hybrid quantum–classical master equation* 2023 Access copy available to the general public Unrestricted Based 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. info:eu-repo/grantAgreement/ES/AEI/PID2021-123251NB-I00 info:eu-repo/grantAgreement/ES/DGA-CUS/581-2020 info:eu-repo/grantAgreement/ES/DGA/E48-23R info:eu-repo/grantAgreement/ES/DGA-IIU/1408-2018 info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 2.0 2023 PHYSICS, MULTIDISCIPLINARY 48 / 112 = 0.429 2023 Q2 T2 PHYSICS, MATHEMATICAL 18 / 60 = 0.3 2023 Q2 T1 0.769 2023 Physics and Astronomy (miscellaneous) 2023 Q1 Modeling and Simulation 2023 Q2 Statistics and Probability 2023 Q2 Statistical and Nonlinear Physics 2023 Q2 Mathematical Physics 2023 Q2 4.1 2023 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Clemente-Gallardo, J. Universidad de Zaragoza (orcid)0000-0003-4721-7381 González-Bravo, L. Martínez-Crespo, D. Universidad de Zaragoza (orcid)0000-0002-6044-0337 2004 405 Universidad de Zaragoza Dpto. Física Teórica Área Física Teórica 56, 37 (2023), 374001 [21 pp.] Journal of Physics A-Mathematical and Theoretical Journal of Physics A-Mathematical and Theoretical 1751-8113 345622 http://zaguan.unizar.es/record/128038/files/texto_completo.pdf Postprint 1669595 http://zaguan.unizar.es/record/128038/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:128038 articulos driver 2024-11-22-12:11:37 ARTICLE