The Schwinger action principle for classical systems

Abstract

We use the Schwinger action principle to obtain the equations of motion in the Koopman-von Neumann operational version of classical mechanics. We restrict our analysis to non-dissipative systems. We show that the Schwinger action principle can be interpreted as a variational principle for velocity-independent forces.

References in corpus (7)

• Hybrid classical-quantum formulations ask for hybrid notions
• Perturbation theory via Feynman diagrams in classical mechanics
• Ermakov-Lewis invariant in Koopman-von Neumann mechanics
• Free fall in KvN mechanics and Einstein's principle of equivalence
• Classical dynamics from a unitary representation of the Galilei group
• Galilean covariance of quantum-classical hybrid systems of the Sudarshan type
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Cited by in corpus (5)

• The wave operator representation of quantum and classical dynamics
• Operational classical mechanics: Holonomic Systems
• Joint quantum-classical Hamilton variation principle in the phase space
• Quantization of Nambu Brackets from Operator Formalism in Classical Mechanics
• Separability and entanglement in classical eigenfunctions as a criterion for Hamiltonian chaos