Ground-state energy bounds of singular potentials
โ Scribed by Carlos R. Handy
- Book ID
- 107987390
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 473 KB
- Volume
- 216
- Category
- Article
- ISSN
- 0375-9601
No coin nor oath required. For personal study only.
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 [
In a way which establishes a new loose parallel between the non-relativistic and relativistic quantum mechanics we show that and how the exceptional and elementary bound-state solutions may be constructed for the radial Dirac equations with forces which are strongly singular in the origin.