Galilean covariance of quantum-classical hybrid systems of the Sudarshan type

Abstract

We revisit quantum-classical hybrid systems of the Sudarshan type under the light of Galilean covariance. We show that these kind of hybrids cannot be given as a unitary representation of the Galilei group and at the same time conserve the total linear momentum unless the interaction term only depends on the relative canonical velocities.

References in corpus (7)

• Hybrid classical-quantum dynamics
• Inconsistency of quantum--classical dynamics, and what it implies
• Hybrid classical-quantum formulations ask for hybrid notions
• Absence of classical and quantum mixing
• Statistical consistency of quantum-classical hybrids
• Ehrenfest principle and unitary dynamics of quantum-classical systems with general potential interaction
• Classical dynamics from a unitary representation of the Galilei group

Cited by in corpus (5)

• Projective representation of the Galilei group for classical and quantum-classical systems
• The Schwinger action principle for classical systems
• Operational classical mechanics: Holonomic Systems
• Unitary representation of the Poincaré group for classical relativistic dynamics
• Lévy-Leblond Equation and Eisenhart-Duval lift in Koopman-von Neumann Mechanics