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7 papers · 1 filter
Eigenvalues of the Dirac Operator on Manifolds with Boundary
Oussama Hijazi, Sebastian Montiel, Xiao Zhang
Under standard local boundary conditions or certain global APS boundary conditions, we get lower bounds for the eigenvalues of the Dirac operator on compact spin manifolds with bou…
Berezin quantization of the Schrodinger algebra
Ph. Feinsilver, J. Kocik, R. Schott
We examine the Schrodinger algebra in the framework of Berezin quantization. First, the Heisenberg-Weyl and sl(2) algebras are studied. Then the Berezin representation of the Schro…
Representations of the Schrodinger algebra and Appell systems
Ph. Feinsilver, J. Kocik, R. Schott
We investigate the structure of the Schrodinger algebra and its representations in a Fock space realized in terms of canonical Appell systems. Generalized coherent states are used…
Malliavin Calculus and Skorohod Integration for Quantum Stochastic Processes
Uwe Franz, Remi Leandre, Rene Schott
A derivation operator and a divergence operator are defined on the algebra of bounded operators on the symmetric Fock space over the complexification of a real Hilbert space $\eufr…
Poisson bracket, deformed bracket and gauge group actions in Kontsevich deformation quantization
Dominique Manchon
We express the difference between Poisson bracket and deformed bracket for Kontsevich deformation quantization on any Poisson manifold by means of second derivative of the formalit…
Choix des signes pour la formalite de M. Kontsevich
D. Arnal, D. Manchon, M. Masmoudi
The explicit realization of M. Kontsevich's formality on is the main step of the proof of formality theorem on any manifold. We present here a coherent choice of orientations…