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Asymptotic Behavior of Resolvent forN-Body Schrödinger Operators Near a Threshold

✍ Scribed by Xue Ping Wang

Publisher
Springer
Year
2003
Tongue
English
Weight
419 KB
Volume
4
Category
Article
ISSN
1424-0637

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📜 SIMILAR VOLUMES

Principle of limiting absorption forN-bo
Principle of limiting absorption forN-body Schrödinger operators —A remark on the commutator method
✍ 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~.