Coupling constant thresholds in nonrelativistic quantum mechanics |
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Authors: | M Klaus B Simon |
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Institution: | (1) Mathematics Department, University of Virginia, 22903 Charlottesville, VA, USA;(2) Departments of Mathematics and Physics, 08544 Princeton, NJ, USA |
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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 0 limit.Research partially supported by U.S.N.S.F. under Grant MCS-78-01885. |
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