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Singular potentials with quasi-exact Dirac bound states

✍ Scribed by Miloslav Znojil

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
54 KB
Volume
255
Category
Article
ISSN
0375-9601

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✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

The number of bound states of singular o
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✍ K. Chadan πŸ“‚ Article πŸ“… 1976 πŸ› Springer 🌐 English βš– 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 [