Abstract
In this note we give an account on some recent results on the smoothness of quantum mechanical N-body scattering amplitudes [S1]. We have results for the 2-cluster—2-cluster and 2-cluster—N-cluster amplitudes under a short range condition on the potential and in addition under a discreteness assumption on the 2-cluster channel energies. This gives a rather complete picture for N = 3 while a number of interesting cases remain to be treated for N > 3. To explain our results and what could be expected for other scattering amplitudes we state the following conjecture. (All notations are given in precise terms below.)
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© 1992 Springer-Verlag Berlin Heidelberg
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Skibsted, E. (1992). On smoothness of the N-body S-matrix. In: Balslev, E. (eds) Schrödinger Operators The Quantum Mechanical Many-Body Problem. Lecture Notes in Physics, vol 403. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-55490-4_12
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DOI: https://doi.org/10.1007/3-540-55490-4_12
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