The asymptotic behaviour of the number of bound states of a given potential in the limit of large coupling
โ Scribed by K. Chadan
- Publisher
- Springer-Verlag
- Year
- 1968
- Weight
- 445 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0369-3546
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๐ SIMILAR VOLUMES
For a spherically symmetric potential such that r VEL ~ (a, oo), V a > 0, and is such that, if we define W = -fr V(t) dt, W belongs to L 1 (0, oo) and rW-~O as r-~0, we show that the number of bound states in any partial-wave satisfies the bound n <2 f ~ r W 2 dr. It was shown in a previous paper [
We consider an oceanic domain included in R 3, in which there exist, at initial time, a current field V 0 and a temperature field 00. Perturbations V and 0 of the velocity and the temperature are induced by a perturbation of the mean wind-stress. V and 0 have to satisfy a non-linear problem of Navie