Remark on a Group-Theoretical Formalism for Quantum Mechanics and the Quantum-to-Classical Transition

Details Remark on a Group-Theoretical Formalism for Quantum Mechanics and the Quantum-to-Classical Transition Remark on a Group-Theoretical Formalism for Quantum Mechanics and the Quantum-to-Classical Transition

2006-03-09

arxiv.org/abs/quant-ph/0603082v2

Found. Phys. 37, 879 (2007)

Physics

Quantum Physics

final version

Scientific paper

10.1007/s10701-007-9130-z

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.

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