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Title: Properties of Some Extensions of the Quadratic Form of the Vector Laplace Operator

Abstract

We consider the action of the quadratic form of the Laplace operator and its extensions in subspaces of linear combinations of the “transverse” and “longitudinal” functions with the fixed orbital momentum with respect to the coordinate origin. In the statement of the problem, it is required that the extensions obtained, after the transfer back to the space of vector functions, can be represented as simple limit expressions with two coefficients. We study the behavior of these coefficients with respect to the initial choice of the linear subspace. Bibliography: 5 titles.

Authors:
 [1]
  1. St.Petersburg Department of the Steklov Mathematical Institute (Russian Federation)
Publication Date:
OSTI Identifier:
22771468
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 229; Journal Issue: 5; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; FUNCTIONS; LAPLACIAN; MATHEMATICAL SPACE; ORBITAL ANGULAR MOMENTUM; VECTORS

Citation Formats

Bolokhov, T. A., E-mail: timur@pdmi.ras.ru. Properties of Some Extensions of the Quadratic Form of the Vector Laplace Operator. United States: N. p., 2018. Web. doi:10.1007/S10958-018-3691-6.
Bolokhov, T. A., E-mail: timur@pdmi.ras.ru. Properties of Some Extensions of the Quadratic Form of the Vector Laplace Operator. United States. doi:10.1007/S10958-018-3691-6.
Bolokhov, T. A., E-mail: timur@pdmi.ras.ru. Thu . "Properties of Some Extensions of the Quadratic Form of the Vector Laplace Operator". United States. doi:10.1007/S10958-018-3691-6.
@article{osti_22771468,
title = {Properties of Some Extensions of the Quadratic Form of the Vector Laplace Operator},
author = {Bolokhov, T. A., E-mail: timur@pdmi.ras.ru},
abstractNote = {We consider the action of the quadratic form of the Laplace operator and its extensions in subspaces of linear combinations of the “transverse” and “longitudinal” functions with the fixed orbital momentum with respect to the coordinate origin. In the statement of the problem, it is required that the extensions obtained, after the transfer back to the space of vector functions, can be represented as simple limit expressions with two coefficients. We study the behavior of these coefficients with respect to the initial choice of the linear subspace. Bibliography: 5 titles.},
doi = {10.1007/S10958-018-3691-6},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 5,
volume = 229,
place = {United States},
year = {2018},
month = {3}
}