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Mathematical foundations of quantum scattering theory for multiparticle systems

About this Title

I. M. Sigal

Publication: Memoirs of the American Mathematical Society
Publication Year: 1978; Volume 16, Number 209
ISBNs: 978-0-8218-2209-8 (print); 978-1-4704-0356-0 (online)
DOI: https://doi.org/10.1090/memo/0209
MathSciNet review: 508478
MSC: Primary 81F10; Secondary 35P25

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Table of Contents

Chapters

  • 1. Introduction
  • 2. Statment of the problem. Notations
  • 3. Main results. Scheme of investigation
  • 4. Equation for the resolvent of $H$
  • 5. Resolvent outside the continuous spectrum. Eigenfunctions of the discrete spectrum
  • 6. Resolvent on the continuous spectrum
  • 7. Proof of Theorems 3.7 and 3.8
  • Appendix I
  • Appendix II
  • Appendix III
  • Appendix IV