Correspondence between the classical and quantum canonical transformation groups from an operator formulation of the Wigner function
Journal Article
·
· Foundations of Physics
OSTI ID:95731
- Lawrence Berkeley Lab., CA (United States)
- Univ. of Maryland, College Park, MD (United States)
An explicit expression of the {open_quotes}Wigner operator{close_quotes} 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.
- DOE Contract Number:
- AC03-76SF00098
- OSTI ID:
- 95731
- Journal Information:
- Foundations of Physics, Journal Name: Foundations of Physics Journal Issue: 6 Vol. 24; ISSN 0015-9018; ISSN FNDPA4
- Country of Publication:
- United States
- Language:
- English
Similar Records
Metaplectic formulation of linear mode conversion
Maximal quantum mechanical symmetry: Projective representations of the inhomogeneous symplectic group
Maximal quantum mechanical symmetry: Projective representations of the inhomogeneous symplectic group
Journal Article
·
Wed Sep 01 00:00:00 EDT 1993
· Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States)
·
OSTI ID:6035307
Maximal quantum mechanical symmetry: Projective representations of the inhomogeneous symplectic group
Journal Article
·
Fri Feb 14 23:00:00 EST 2014
· Journal of Mathematical Physics
·
OSTI ID:22251022
Maximal quantum mechanical symmetry: Projective representations of the inhomogeneous symplectic group
Journal Article
·
Fri Feb 14 23:00:00 EST 2014
· Journal of Mathematical Physics
·
OSTI ID:22251552