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
  • B. Simon


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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Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • M. Klaus
    • 1
  • B. Simon
    • 2
  1. 1.Mathematics DepartmentUniversity of VirginiaCharlottesvilleUSA
  2. 2.Departments of Mathematics and PhysicsPrincetonUSA

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