Completeness of the wave operators in the repulsive N-body problem
- 1 March 1973
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 14 (3) , 376-379
- https://doi.org/10.1063/1.1666324
Abstract
Completeness of the wave operators is proved for N equal mass quantum mechanical particles interacting by repulsive forces given by pair potentials Vij (|xi − xj|) = O (|xi−xj| −1−ε), ε>0, which also satisfy certain regularity conditions. In a previous paper an incorrect derivation of this result for the two‐body problem was given, which we correct and adapt to the N‐body situation.Keywords
This publication has 3 references indexed in Scilit:
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- Wave operators and similarity for some non-selfadjoint operatorsMathematische Annalen, 1966
- Cluster Properties of Multiparticle SystemsJournal of Mathematical Physics, 1965