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Commutator methods and a smoothing property of the Schrödinger evolution group

✍ Scribed by Arne Jensen

Publisher
Springer-Verlag
Year
1986
Tongue
French
Weight
269 KB
Volume
191
Category
Article
ISSN
0025-5874

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✍ H. Tamura 📂 Article 📅 1989 🏛 Springer 🌐 English ⚖ 224 KB

We consider a N-body SehrOdinger operator H = Ho + V. The interaction V is given by a sum of pair potentials Vjk(y) ( = Vj~, + V~,), y e R 3. We assume that: V~ = O([y[-(l +o)), p > 0, as lyl ~ oo for the short-range part VA; tgyVj~,=O(lYl-{l~l+')), 0~<lal~<l, as lYl~oo for the long-range part Vj~.