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• W4385694057 abstract "Abstract 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 <?CDATA $C^*$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:msup> <mml:mi>C</mml:mi> <mml:mo>∗</mml:mo> </mml:msup> </mml:math> 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 <?CDATA $C^*$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:msup> <mml:mi>C</mml:mi> <mml:mo>∗</mml:mo> </mml:msup> </mml:math> –algebra by the GNS construction. We also classify all possible dynamical systems which are unitary and obtain the possible hybrid Hamiltonian operators." @default.
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• W4385694057 date "2023-08-23" @default.
• W4385694057 modified "2023-10-01" @default.
• W4385694057 title "Hybrid Koopman C∗ –formalism and the hybrid quantum–classical master equation ^*" @default.
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• W4385694057 doi "https://doi.org/10.1088/1751-8121/aceed5" @default.
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