Silagadze, Z.K. Evading Quantum Mechanics à La Sudarshan: Quantum-Mechanics-Free Subsystem as a Realization of Koopman-von Neumann Mechanics. Foundations of Physics 2023, 53, doi:10.1007/s10701-023-00734-6.
Silagadze, Z.K. Evading Quantum Mechanics à La Sudarshan: Quantum-Mechanics-Free Subsystem as a Realization of Koopman-von Neumann Mechanics. Foundations of Physics 2023, 53, doi:10.1007/s10701-023-00734-6.
Silagadze, Z.K. Evading Quantum Mechanics à La Sudarshan: Quantum-Mechanics-Free Subsystem as a Realization of Koopman-von Neumann Mechanics. Foundations of Physics 2023, 53, doi:10.1007/s10701-023-00734-6.
Silagadze, Z.K. Evading Quantum Mechanics à La Sudarshan: Quantum-Mechanics-Free Subsystem as a Realization of Koopman-von Neumann Mechanics. Foundations of Physics 2023, 53, doi:10.1007/s10701-023-00734-6.
Abstract
The notion of quantum-mechanics-free subsystem (QMFS) was introduced by Tsang and Caves in 2012. They showed that it is possible to design the dynamics of coupled quantum systems in such a way that one can construct a subsystem in which a given classical dynamics is realized, thus avoiding the measurement back-action of quantum mechanics. Although they mention that the Heisenberg picture equations of motion for QMFS was first proposed by Koopman in 1931 as a formulation of classical Hamiltonian dynamics in Hilbert space, in fact the connection between QMFS and Koopmann-von Neumann mechanics is deeper. Namely, quantum-mechanics-free subsystem is nothing but the realization of Sudarshan's perspective on the Koopman-von Neumann mechanics.
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