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Scattering Theory in Many-Body Quantum Systems. Analyticity of the Scattered Matrix

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Abstract

The aim of this paper is to formulate the result on and discuss the proof of the analytic properties of the S-matrix for the many-body quantum scattering. On a way to it we review the basic mathematical results and important methods of the many-body scattering theory. The statements are formulated and explained carefully and the proofs are outlined in sufficient detail to give a complete picture of the methods used. Complete proofs together with a rigorous discussion of related questions can be found in a paper of the author [21].

Talk presented at the 774th AMS meeting at Boulder, Colorado, March 27–29, 1980

Research partially supported by USNSF Grant MCS-78-01885.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Princeton University, Princeton, N.J., 08544, USA

    I. M. Sigal

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  1. I. M. Sigal
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Editor information

Editors and Affiliations

  1. University of Colorado, Boulder, Colorado, USA

    Karl E. Gustafson  & William P. Reinhardt  & 

  2. Joint Institute for Laboratory Astrophysics, National Bureau Standards and University of Colorado, Boulder, Colorado, USA

    William P. Reinhardt

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© 1981 Plenum Press, New York

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Sigal, I.M. (1981). Scattering Theory in Many-Body Quantum Systems. Analyticity of the Scattered Matrix. In: Gustafson, K.E., Reinhardt, W.P. (eds) Quantum Mechanics in Mathematics, Chemistry, and Physics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3258-9_23

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  • DOI: https://doi.org/10.1007/978-1-4613-3258-9_23

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-3260-2

  • Online ISBN: 978-1-4613-3258-9

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