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Resonances

The Unifying Route Towards the Formulation of Dynamical Processes Foundations and Applications in Nuclear, Atomic and Molecular Physics

  • Conference proceedings
  • © 1989

Overview

Editors:
  1. Erkki Brändas
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  2. Nils Elander
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Part of the book series: Lecture Notes in Physics (LNP, volume 325)

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Table of contents (28 papers)

  1. Front Matter

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  2. Introduction to Rigged Hilbert Spaces (RHS)

    • Bengt Nagel
    Pages 1-10

  3. Comparison between different notions of resonances

    • Bernard Helffer
    Pages 11-19

  4. Resonances and semiclassical analysis

    • Johannes Sjöstrand
    Pages 21-33

  5. Resonances with a background potential

    • Erik Balslev
    Pages 35-46

  6. On the general inversion problem

    • Anders Melin
    Pages 47-55

  7. Weyl's theory studies and the one-dimensional almost periodic Schrödinger equation

    • Ladislav Trlifaj
    Pages 57-75

  8. A generalization of Rouché's theorem with application to resonances

    • Heinz Siedentop
    Pages 77-85

  9. Generalization of Müller's variational principle

    • Geert-Ulrich Sölter
    Pages 87-103

  10. Resonance state expansions in nuclear physics

    • Tore Berggren
    Pages 105-117

  11. Mittag-Leffler expansions in nuclear physics

    • Jens Bang
    Pages 119-127

  12. On the analytical continuation of the partial wave S-matrix using complex scaling techniques

    • Magnus Rittby, Nils Elander, Erkki Brändas
    Pages 129-151

  13. Calculation of resonant wave functions in nuclear physics

    • Borbála Gyarmati
    Pages 153-177

  14. The use of Gamow functions in nuclear problems

    • Tamas Vertse, Patricia Curutchet, Roberto J. Liotta
    Pages 179-200

  15. Resonances as an Eigenvalue problem

    • Lidia S. Ferreira
    Pages 201-214

  16. A model for studying time dependent quantum mechanical processes and its application for quasi-stationary states

    • János Révai
    Pages 215-232

  17. Time-dependent dynamics applied to electron transfer

    • Erik Deumens, Yngve Öhrn
    Pages 233-252

  18. Semiclassical description of resonances

    • H. Jürgen Korsch
    Pages 253-280

  19. Regge poles and atom-molecule diffraction

    • Karl-Erik Thylwe
    Pages 281-311

  20. Energy shifts and widths in atomic and molecular physics: Multichannel approach

    • Roland Lefebvre
    Pages 313-327
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Keywords

About this book

Scattering theory is of interest to physicists and to chemists and has a wide variety of applications, but it also presents a considerable challenge to mathematicians, including numerical analysts. Within the Schrödinger picture in this volume are collected the various theoretical and mathematical treatments of scattering together with a host of reviews of its applications to atomic and nuclear physics, to surface physics and chemistry, for example trapping of atoms on surfaces, and to amorphous condensed systems. The reviews give a concise and pedagogically useful presentation of the state of the art, and may serve as introductions for newcomers, in particular for graduate students.

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