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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 465, Pages 46–60 (Mi znsl6530)  
Homogeneous extensions of the quadratic form of Laplace operator for the field interacting with two point-like particles

T. A. Bolokhov

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
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Abstract: We consider the set of the closed homogeneous extensions of the quadratic form of Laplace operator, generated by interaction with two point-like sources. We show that this set consists of the trivial (maximal) extension, one point and the subset equivalent to the Riemann sphere.
Key words and phrases: quadratic form, Laplace operator, point-like interaction, self-adjoint extensions of symmetric operators.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-03148
17-01-00283
Received: 29.11.2017
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 238, Issue 6, Pages 793–803
DOI: https://doi.org/10.1007/s10958-019-04276-z
Document Type: Article
UDC: 517.9
Language: Russian
Citation: T. A. Bolokhov, “Homogeneous extensions of the quadratic form of Laplace operator for the field interacting with two point-like particles”, Questions of quantum field theory and statistical physics. Part 24, Zap. Nauchn. Sem. POMI, 465, POMI, St. Petersburg, 2017, 46–60; J. Math. Sci. (N. Y.), 238:6 (2019), 793–803
Citation in format AMSBIB
\Bibitem{Bol17}
\by T.~A.~Bolokhov
\paper Homogeneous extensions of the quadratic form of Laplace operator for the field interacting with two point-like particles
\inbook Questions of quantum field theory and statistical physics. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 465
\pages 46--60
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6530}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 238
\issue 6
\pages 793--803
\crossref{https://doi.org/10.1007/s10958-019-04276-z}
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