This article is cited in 9 papers

The theory of extentions and zero-radius potentials with internal structure

B. S. Pavlov, A. A. Shushkov


Abstract: A detailed spectral analysis is carried out for the Schrödinger operator with zero-radius potentials endowed with internal structure. Explicit expressions are obtained for the resolvents and spectral projections in the case when the internal operators are compact. The corresponding scattering problem is solved.
Bibliography: 22 titles.

UDC: 517.584

MSC: 35J10, 35P25, 81F10

Received: 29.12.1987

 English version: Mathematics of the USSR-Sbornik, 1990, 65:1, 147–184

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