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Journal of Physics A Mathematical and General

On a zero-range interaction of a quantum particle with the vacuum

Dimitri R. Yafaev

Published Feb 21, 1992• 41 citations
Publisher

Abstract

Self-adjoint extensions of the operator- Delta with the domain C 0 infinity (R 3 ) in the space C k (+)L 2 (R 3 ) are described. Such operators are interpreted as Hamiltonians of a point interaction of a quantum particle with the vacuum. Bound states and scattering objects of these Hamiltonians are investigated.
DOI
10.1088/0305-4470/25/4/031

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