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Operateurs conjugués et propriétés de propagation

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Abstract

We use an algebraic criteria (based on local positivity of a commutator) which asserts the existence of a direction of propagation for the flowe −iHt associated to a self-adjoint operatorH.

This criteria is applied to the Hamiltonian of three body quantum systems interacting through long range two body potentials. We found the singular spectral support of the Green functions or equivalently the phase space support of the propagation in the one channel or the coulomb interaction cases. Elementary applications to asymptotic completeness of general three body systems is given in [11b].

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Authors and Affiliations

  1. Centre de Physique Théorique, C.N.R.S. Luminy, Case 907, F-13288, Marseille Cedex 9, France

    E. Mourre

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  1. E. Mourre
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Communicated by B. Simon

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Mourre, E. Operateurs conjugués et propriétés de propagation. Commun.Math. Phys. 91, 279–300 (1983). https://doi.org/10.1007/BF01211163

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  • DOI: https://doi.org/10.1007/BF01211163

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