Communications in Mathematical Physics

, Volume 78, Issue 2, pp 153–168

Coupling constant thresholds in nonrelativistic quantum mechanics

II. Two cluster thresholds inN-body systems


  • M. Klaus
    • Mathematics DepartmentUniversity of Virginia
  • B. Simon
    • Departments of Mathematics and Physics

DOI: 10.1007/BF01942369

Cite this article as:
Klaus, M. & Simon, B. Commun.Math. Phys. (1980) 78: 153. doi:10.1007/BF01942369


We extend the analysis of absorbtion of eigenvalues for the two body case to situations where absorbtion occurs at a two cluster threshold in anN-body system. The result depends on a Birman-Schwinger kernel for such anN-body system, an object which we apply in other ways. In particular, we control the number of discrete eigenvalues in the ħ→0 limit.

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© Springer-Verlag 1980