J. M. Isidro
Published 2007-10-18Version 1
We prove that Wigner functions contain a symplectic connection. The latter covariantises the symplectic exterior derivative on phase space. We analyse the role played by this connection and introduce the notion of local symplectic covariance of quantum-mechanical states. This latter symmetry is at work in the Schroedinger equation on phase space.
Journal: Int.J.Geom.Meth.Mod.Phys.5:663-676,2008
Noncompact $\mathbf{CP}^N$ as a phase space of superintegrable systems
Phase spaces that cannot be cloned in classical mechanics
Symplectically Covariant Schrödinger Equation in Phase Space
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