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Inequalities on the number of bound states in oscillating potentials

โœ Scribed by K. Chadan; A. Martin


Publisher
Springer
Year
1977
Tongue
English
Weight
567 KB
Volume
53
Category
Article
ISSN
0010-3616

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The number of bound states of singular o
โœ K. Chadan ๐Ÿ“‚ Article ๐Ÿ“… 1976 ๐Ÿ› Springer ๐ŸŒ English โš– 264 KB

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 [