Abstract
We investigate elastic and inelastic (2 cluster) → (2 cluster) scattering for classes of two, three, and four body Schrödinger operators\(H = H_0 + \sum\limits_{i< j} {V_{ij} .} \) Formulas are derived for those generalized eigenfunctions ofH which correspond asymptotically in the past to two freely moving clusters. With these eigenfunctions, we establish a formula for the (2 cluster) → (2 cluster)T-matrix and prove the convergence of a Born series for theT-matrix at high energy.
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Communicated by J. Ginibre
Supported in part by the National Science Foundation under Grant PHY 78-08066
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Hagedorn, G.A. Born series for (2 cluster) → (2 cluster) scattering of two, three, and four particle Schrödinger operators. Commun.Math. Phys. 66, 77–94 (1979). https://doi.org/10.1007/BF01197746
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DOI: https://doi.org/10.1007/BF01197746