E. H. Eyvazov, “Higher order differential operators with finite number of <nobr>$\delta$</nobr>-interactions in multivariate case”, Zh. Mat. Fiz. Anal. Geom., 2010, Volume 6, Number 3,Pages <nobr>266

This article is cited in 2 papers

Higher order differential operators with finite number of $\delta$-interactions in multivariate case

E. H. Eyvazov

Applied Mathematics and Cybernetics Faculty, Baku State University, 23 Z. Khalilov Str., Baku, AZ1148, Azerbaijan

Abstract: A formula for calculating the defect number of a multi-center differential operator of higher order is obtained. The spectral properties of selfadjoint operators describing the finite number pointwise interactions are studied.

Key words and phrases: Schrödinger operator, $\delta$-interaction, pointwise interactions, higher order differential operators, deficiency index of the operators, quantum mechanics, selfadjoint extensions.

MSC: 35J10, 35P05

Received: 05.03.2009

Language: English