96-457 Neidhardt H., Zagrebnov V.A.
Does each symmetric operator have a stability domain ? (58K, LateX) Oct 1, 96
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Abstract. We show that any symmetric operator has a dense maximal stability domain, where it is semibounded from below,if and only if it is unbounded from above. This result allows an application to singular perturbed Schrodinger operators which are not semibounded from below,i.e.,to the so-called fall to the centre problem.We give an example of singular perturbed Schrodinger operator for which stability domains are described explicitly.

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