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Spectral properties of Schroedinger operators and scattering theory (Publications of the Scuola Normale Superiore) - Softcover

 
9788876422478: Spectral properties of Schroedinger operators and scattering theory (Publications of the Scuola Normale Superiore)

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These are the written notes of Fermi's Lectures supported by the Accademia Nazionale dei Lincei and given at the Scuola Normale Superiore of Pisa during March-April 1973. We propose to discuss here certain spectral properties of Schrödinger operators H=-D+V(x) (D the Laplacian and V a potential) which have application to scattering theory. We consider an operator H with potential V of class SR. We show that the positive point spectrum of H is a discrete set in R+. Eigenfunctions which correspond to positive eigenvalues are shown to decay rapidly. This property is shown to hold also for generalized eigenfunctions. We then establish the limiting absorbing principle, which is a basic tool in our study.

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  • PublisherEdizioni della Normale
  • Publication date1975
  • ISBN 10 8876422471
  • ISBN 13 9788876422478
  • BindingPaperback
  • LanguageEnglish
  • Number of pages68

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Shmuel Agmon
Published by Edizioni della Normale, 2007
ISBN 10: 8876422471 ISBN 13: 9788876422478
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Taschenbuch. Condition: Neu. Neuware - These are the written notes of Fermi's Lectures supported by the Accademia Nazionale dei Lincei and given at the Scuola Normale Superiore of Pisa during March-April 1973. We propose to discuss here certain spectral properties of Schrödinger operators H=-D+V(x) (D the Laplacian and V a potential) which have application to scattering theory. We consider an operator H with potential V of class SR. We show that the positive point spectrum of H is a discrete set in R+. Eigenfunctions which correspond to positive eigenvalues are shown to decay rapidly. This property is shown to hold also for generalized eigenfunctions. We then establish the limiting absorbing principle, which is a basic tool in our study. Seller Inventory # 9788876422478

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ISBN 10: 8876422471 ISBN 13: 9788876422478
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Kartoniert / Broschiert. Condition: New. These are the written notes of Fermi s Lectures supported by the Accademia Nazionale dei Lincei and given at the Scuola Normale Superiore of Pisa during March-April 1973. We propose to discuss here certain spectral properties of Schroedinger operators H=-D+V. Seller Inventory # 458789802

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