Homogeneous Extensions of the Quadratic Form of the Laplace Operator for a Field Interacting with Two Point-Like Sources
- Authors: Bolokhov T.A.1
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Affiliations:
- St. Petersburg Department of Steklov Institute of Mathematics
- Issue: Vol 238, No 6 (2019)
- Pages: 793-803
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242604
- DOI: https://doi.org/10.1007/s10958-019-04276-z
- ID: 242604
Cite item
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.
About the authors
T. A. Bolokhov
St. Petersburg Department of Steklov Institute of Mathematics
Author for correspondence.
Email: timur@pdmi.ras.ru
Russian Federation, St. Petersburg