This article is cited in 10 papers

Conditions for the self-adjointness of the Schrodinger operator

F. S. Rofe-Beketov

Physicotechnical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSR

Abstract: Sufficient conditions are derived for the self-adjointness of the Schrödinger operator in the whole of space and in bounded regions, without supplementary boundary conditions and without any requirements concerning the existence of a spherically symmetric minorant of the potential satisfying the Titchmarsh–Sears conditions.

UDC: 513.88

Received: 03.09.1969

 English version: Mathematical Notes, 1970, 8:6, 888–894

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