Cluster Properties of Multiparticle Systems
- 1 January 1965
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 6 (1) , 6-10
- https://doi.org/10.1063/1.1704266
Abstract
The object of investigation is a system of N particles in nonrelativistic quantum mechanics. The particles interact via two‐ or many‐body potentials, for which a sufficient condition is that they be square integrable in the relative coordinates of the interacting particles. Cluster properties are derived for the time translation operator, for the wave operators, for the transition probabilities, and for the S operator.Keywords
This publication has 4 references indexed in Scilit:
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- Cluster Decomposition Properties of theMatrixPhysical Review B, 1963
- Eigenfunction expansions associated with the Schroedinger operators and their applications to scattering theoryArchive for Rational Mechanics and Analysis, 1960
- Wave operators in multichannel scatteringIl Nuovo Cimento (1869-1876), 1959