We study the Weyl representation of metaplectic operators associated to a symplectic matrix having no non-trivial fixed point, and justify a for-mula suggested in earlier work of Mehlig and Wilkinson. We give precise calculations of the associated Maslov-type indices; these indices intervene in a crucial way in Gutzwiller’s formula of semiclassical mechanics, and are simply related to an index defined by Conley and Zehnder
Using invariance by fixed-endpoints homotopies and a generalized notion of symplectic Cayley transfo...
The metaplectic representation describes a class of automorphism of the Heisenberg group H = H(G), d...
The metaplectic representation describes a class of automorphism of the Heisenberg group H = H(G), d...
We study the Weyl representation of metaplectic operators associated to a symplectic matrix having n...
The date of receipt and acceptance will be inserted by the editor Abstract We de\u85ne and study a m...
AbstractWe begin with a survey of the standard theory of the metaplectic group with some emphasis on...
The quantum Hamiltonian generates in time a family of evolution operators. Continuity of this family...
The quantum Hamiltonian generates in time a family of evolution operators. Continuity of this family...
The quantum Hamiltonian generates in time a family of evolution operators. Continuity of this family...
We produce a connection between the Weil 2-cocycles defining the local and adèlic metaplectic groups...
AbstractLet X be the Grassmannian of Lagrangian subspaces of R2n and π: Θ → X the bundle of negative...
AbstractThe Segal-Shale-Weil representation associates to a symplectic transformation of the Heisenb...
Using invariance by fixed-endpoints homotopies and a generalized notion of symplectic Cayley transfo...
Using invariance by fixed-endpoints homotopies and a generalized notion of symplectic Cayley transfo...
AbstractWe begin with a survey of the standard theory of the metaplectic group with some emphasis on...
Using invariance by fixed-endpoints homotopies and a generalized notion of symplectic Cayley transfo...
The metaplectic representation describes a class of automorphism of the Heisenberg group H = H(G), d...
The metaplectic representation describes a class of automorphism of the Heisenberg group H = H(G), d...
We study the Weyl representation of metaplectic operators associated to a symplectic matrix having n...
The date of receipt and acceptance will be inserted by the editor Abstract We de\u85ne and study a m...
AbstractWe begin with a survey of the standard theory of the metaplectic group with some emphasis on...
The quantum Hamiltonian generates in time a family of evolution operators. Continuity of this family...
The quantum Hamiltonian generates in time a family of evolution operators. Continuity of this family...
The quantum Hamiltonian generates in time a family of evolution operators. Continuity of this family...
We produce a connection between the Weil 2-cocycles defining the local and adèlic metaplectic groups...
AbstractLet X be the Grassmannian of Lagrangian subspaces of R2n and π: Θ → X the bundle of negative...
AbstractThe Segal-Shale-Weil representation associates to a symplectic transformation of the Heisenb...
Using invariance by fixed-endpoints homotopies and a generalized notion of symplectic Cayley transfo...
Using invariance by fixed-endpoints homotopies and a generalized notion of symplectic Cayley transfo...
AbstractWe begin with a survey of the standard theory of the metaplectic group with some emphasis on...
Using invariance by fixed-endpoints homotopies and a generalized notion of symplectic Cayley transfo...
The metaplectic representation describes a class of automorphism of the Heisenberg group H = H(G), d...
The metaplectic representation describes a class of automorphism of the Heisenberg group H = H(G), d...