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Operateur de Schrödinger a resolvante compacte

  • Processus De Markov, Etc
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Séminaire de Probabilités XIII

Part of the book series: Lecture Notes in Mathematics ((SEMPROBAB,volume 721))

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Abstract

Using standard properties of Brownian paths, we give a sufficient condition for the compactness of the resolvent of Schrödinger operator −1/2Δ+V.

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References

  1. V. BENCI and D. FORTUNATO: On a Discretness Condition of the Spectrum of Schrödinger Operators with Unbounded Potential from Below. Proc. Amer. Math. Soc. 70 (1978) 163–166

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  2. R.CARMONA: Regularity Properties of Shrödinger and Dirichlet Semigroups. J. Functional Analysis (à paraitre)

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  3. M.REED and B.SIMON: Methods of Modern Mathematical Physics IV: Analysis of Operators. Academic Press (1978)

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Author information

Authors and Affiliations

  1. Département de Mathématiques, Université de Saint-Etienne, 23 rue du Docteur P.Michelon, 42100, Saint-Etienne

    René Carmona

Authors
  1. René Carmona
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Editor information

C. Dellacherie P. A. Meyer M. Weil

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© 1979 Springer-Verlag

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Carmona, R. (1979). Operateur de Schrödinger a resolvante compacte. In: Dellacherie, C., Meyer, P.A., Weil, M. (eds) Séminaire de Probabilités XIII. Lecture Notes in Mathematics, vol 721. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0070894

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  • DOI: https://doi.org/10.1007/BFb0070894

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09505-7

  • Online ISBN: 978-3-540-35189-4

  • eBook Packages: Springer Book Archive

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