18 research outputs found
Remark on a Group-Theoretical Formalism for Quantum Mechanics and the Quantum-to-Classical Transition
We sketch a group-theoretical framework, based on the Heisenberg-Weyl group,
encompassing both quantum and classical statistical descriptions of mechanical
systems. We re-define in group-theoretical terms the kinematical arena and the
state-space of the system, achieving a unified quantum-classical language and a
novel version of the correspondence principle. We briefly discuss the structure
of observables and dynamics within our framework.Comment: final versio