, Volume 78, Issue 2, pp 153-168

Coupling constant thresholds in nonrelativistic quantum mechanics

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Abstract

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.

Research partially supported by U.S.N.S.F. under Grant MCS-78-01885.
Communicated by J. Ginibre