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Pré-Publication, Document De Travail Année : 2005

Elements of symplectic covariant theory of phase-space Schrödinger equations

Résumé

We construct an irreducible representation of the Heisenberg group on Hilbert spaces of phase-space functions. This leads us to an extended Weyl calculus making possible a rigorous treatment of Schrödinger equations in phase space, justified by Stone-von neumann's theorem. We discuss the physical relevance and probabilistic interpretation of the solutions to this equation.
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Dates et versions

hal-00004996 , version 1 (27-05-2005)
hal-00004996 , version 2 (15-06-2005)
hal-00004996 , version 3 (30-07-2005)

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Maurice A. de Gosson. Elements of symplectic covariant theory of phase-space Schrödinger equations. 2005. ⟨hal-00004996v1⟩
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