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

J. K. Korbicz·M. Lewenstein
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Abstract

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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J. K. Korbicz, M. Lewenstein. 2007-06-25. Remark on a Group-Theoretical Formalism for Quantum Mechanics and the Quantum-to-Classical Transition. https://doi.org/10.1007/s10701-007-9130-z

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