We prove essential self-adjointness for semi-bounded below magnetic Schrรถdinger operators on complete Riemannian manifolds with a given positive smooth measure which is fixed independently of the metric. Some singularities of the scalar potential are allowed. This is an extension of the Povzner-Wien
On spectral concentration for semi-bounded operators
โ Scribed by W.M Greenlee
- Publisher
- Elsevier Science
- Year
- 1970
- Tongue
- English
- Weight
- 246 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A theoretical framework is developed for constructing spectral refinement schemes for a simple eigenelement which achieve arbitrarily high rates of convergence while keeping the computational cost at a minimum. The new approach is illustrated by considering a Newton type iteration scheme. Numerical
In this paper one obtains a result concerning the asymptotic behaviour of the spectral function on the diagonal for SCHRODINOER operators Ah = --A + V as h -+ 0. This asymptotic change the form on the energy level V ( x ) = A.
In this paper the results from [ 7, Y], concerning the asyinptotic beheviour of the spectral function 011 the ditigoiid for SCHRODISGER operators d,, = --d + V cts h -0, arc? ertenclcc~ t o the case of sonic h-admissible operators, uctiiig in R", .n m2.
## Abstract Mourre method of commutators is used to get low energy resolvent bound for an abstract operatorin a Hilbert space and for a second order variable coefficient elliptic operator in __R__^__d__^, __d__โฉพ3. Copyright ยฉ 2002 John Wiley & Sons, Ltd.