Many-particle Systems

  • Stephen J. Gustafson
  • Israel Michael Sigal
Part of the Universitext book series (UTX)


In this chapter, we extend the concepts developed in the previous chapters to many-particle systems. Specifically, we consider a physical system consisting of N particles of masses m1,…,m N which interact pairwise via the potentials V ij (xi-x j ), where x j is the position of the j-th particle. Examples of such systems include atoms or molecules — i.e., systems consisting of electrons and nuclei interacting via Coulomb forces.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Stephen J. Gustafson
    • 1
  • Israel Michael Sigal
    • 2
  1. 1.Department of MathematicsUniversity of British ColumbiaVancouverCanada
  2. 2.Department of MathematicsUniversity of TorontoTorontoCanada

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