A Schrödinger Operator with Point Interactions on Sobolev Spaces

Author： Albeverio Sergio   Nizhnik Leonid  

Publisher： Springer Publishing Company

ISSN： 0377-9017

Source： Letters in Mathematical Physics, Vol.70, Iss.3, 2004-12, pp. : 185-194

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Abstract

Schrödinger operators on Sobolev spaces are considered as new solvable models with point interactions. A simple formula for the deficiency indices of a minimal Schrödinger operator with point interactions is given. Examples of point interactions on the space W21( $${\cal R}$$ 3) are constructed.

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