Correspondence between the classical and quantum canonical transformation groups from an operator formulation of the wigner function

Leehwa Yeh*, Y. S. Kim

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

An explicit expression of the "Wigner operator" is derived, such that the Wigner function of a quantum state is equal to the expectation value of this operator with respect to the same state. This Wigner operator leads to a representation-independent procedure for establishing the correspondence between the inhomogeneous symplectic group applicable to linear canonical transformations in classical mechanics and the Weyl-metaplectic group governing the symmetry of unitary transformations in quantum mechanics.

Original languageEnglish
Pages (from-to)873-884
Number of pages12
JournalFoundations of Physics
Volume24
Issue number6
DOIs
StatePublished - Jun 1994

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