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Mathematical Results in Quantum Mechanics pp 283–292Cite as

Birkhäuser

A Trace Formula for Obstacles Problems and Applications

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Part of the book series: Operator Theory: Advances and Applications ((OT,volume 70))

Abstract

We display here a new trace formula in scattering for obstacles problems. Applications are given for asymptotics of the scattering phase. In particular we prove a Weyl type formula for exterior problems in acoustical scattering for any dimension, extending a result proved by R. Melrose in odd dimension. More generally, we prove that theses results hold for a large class of perturbations of operators elliptic at infinity which may be degenerated in a bounded set.

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Author information

Authors and Affiliations

  1. Department of Mathematics, CNRS-URA 758, University of Nantes, 2, rue de la Houssinière, 44072, Nantes-Cédex 03, France

    Didier Robert

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  1. Didier Robert
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Editor information

Editors and Affiliations

  1. Technische Universität Clausthal, Institut für Mathematik, Erzstrasse 1, D-38678, Clausthal-Zellerfeld, Germany

    M. Demuth

  2. Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Head Post Office Box 79, Moscow, Russia

    P. Exner

  3. Fachbereich Mathematik MA 7-2, Technische Universität Berlin, Strasse des 17. Juni 136, D-10623, Berlin, Germany

    H. Neidhardt

  4. Université d’Aix-Marseille II et, Centre de Physique Théorique, CNRS — Luminy — Case 907, F-13288, Marseille Cedex 9, France

    V. Zagrebnov

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© 1994 Springer Basel AG

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Robert, D. (1994). A Trace Formula for Obstacles Problems and Applications. In: Demuth, M., Exner, P., Neidhardt, H., Zagrebnov, V. (eds) Mathematical Results in Quantum Mechanics. Operator Theory: Advances and Applications, vol 70. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8545-4_34

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  • DOI: https://doi.org/10.1007/978-3-0348-8545-4_34

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9673-3

  • Online ISBN: 978-3-0348-8545-4

  • eBook Packages: Springer Book Archive

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