The distribution of eigenvalues of the Dirac operator
โ Scribed by M. Otelbaev
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1973
- Tongue
- English
- Weight
- 337 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0001-4346
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
For bounded potentials which behave like &cx &# at infinity we investigate whether discrete eigenvalues of the radial Dirac operator H } accumulate at +1 or not. It is well known that #=2 is the critical exponent. We show that c=1ร8+ }(}+1)ร2 is the critical coupling constant in the case #=2. Our ap
On a foliated Riemannian manifold with a transverse spin structure, we give a lower bound for the square of the eigenvalues of the transversal Dirac operator. We prove, in the limiting case, that the foliation is a minimal, transversally Einsteinian with constant transversal scalar curvature.
This paper is devoted to a general min-max characterization of the eigenvalues in a gap of the essential spectrum of a self-adjoint unbounded operator. We prove an abstract theorem, then we apply it to the case of Dirac operators with a Coulomb-like potential. The result is optimal for the Coulomb p