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About the number of bound states for a very general potential

✍ Scribed by E. Elizalde

Book ID
112837259
Publisher
Springer-Verlag
Year
1976
Weight
222 KB
Volume
31
Category
Article
ISSN
0369-3546

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πŸ“œ SIMILAR VOLUMES

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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 [

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## Abstract In this note, we prove that the cop number of any __n__‐vertex graph __G__, denoted by ${{c}}({{G}})$, is at most ${{O}}\big({{{n}}\over {{\rm lg}} {{n}}}\big)$. Meyniel conjectured ${{c}}({{G}})={{O}}(\sqrt{{{n}}})$. It appears that the best previously known sublinear upper‐bound is du