Homogeneous Extensions of the Quadratic Form of the Laplace Operator for a Field Interacting with Two Point-Like Sources


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Abstract

We consider the set of closable homogeneous extensions of the quadratic form of the Laplace operator generated by interaction with two point-like sources. We show that this set consists of the trivial (maximal) extension, one point, and a subset equivalent to the Riemann sphere ????2.

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T. A. Bolokhov

St. Petersburg Department of Steklov Institute of Mathematics

Author for correspondence.
Email: timur@pdmi.ras.ru
Russian Federation, St. Petersburg

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