Arbitrary powers of D'Alembertians and the Huygens' principle

By means of some reasonable rules the operators that can represent arbitrary powers of the D'Alembertian and their corresponding Green's functions are defined. It is found which powers lead to the validity of Huygens' principle. The specially interesting case of powers that are half a...

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Autor principal: Giambiagi, Juan José
Publicado: 1993
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v34_n2_p610_Bollinia
http://hdl.handle.net/20.500.12110/paper_00222488_v34_n2_p610_Bollinia
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00222488_v34_n2_p610_Bollinia
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spelling paper:paper_00222488_v34_n2_p610_Bollinia2023-06-08T14:48:09Z Arbitrary powers of D'Alembertians and the Huygens' principle Giambiagi, Juan José By means of some reasonable rules the operators that can represent arbitrary powers of the D'Alembertian and their corresponding Green's functions are defined. It is found which powers lead to the validity of Huygens' principle. The specially interesting case of powers that are half an odd integer in spaces of odd dimensionality, obey Huygens' principle, and can be expressed as iterated D'Alembertians of the retarded potential are discussed. Arbitrary powers of the Laplacian operator as well as their corresponding Green's functions are also discussed. © 1993 American Institute of Physics. Fil:Giambiagi, J.J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1993 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v34_n2_p610_Bollinia http://hdl.handle.net/20.500.12110/paper_00222488_v34_n2_p610_Bollinia
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description By means of some reasonable rules the operators that can represent arbitrary powers of the D'Alembertian and their corresponding Green's functions are defined. It is found which powers lead to the validity of Huygens' principle. The specially interesting case of powers that are half an odd integer in spaces of odd dimensionality, obey Huygens' principle, and can be expressed as iterated D'Alembertians of the retarded potential are discussed. Arbitrary powers of the Laplacian operator as well as their corresponding Green's functions are also discussed. © 1993 American Institute of Physics.
author Giambiagi, Juan José
spellingShingle Giambiagi, Juan José
Arbitrary powers of D'Alembertians and the Huygens' principle
author_facet Giambiagi, Juan José
author_sort Giambiagi, Juan José
title Arbitrary powers of D'Alembertians and the Huygens' principle
title_short Arbitrary powers of D'Alembertians and the Huygens' principle
title_full Arbitrary powers of D'Alembertians and the Huygens' principle
title_fullStr Arbitrary powers of D'Alembertians and the Huygens' principle
title_full_unstemmed Arbitrary powers of D'Alembertians and the Huygens' principle
title_sort arbitrary powers of d'alembertians and the huygens' principle
publishDate 1993
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v34_n2_p610_Bollinia
http://hdl.handle.net/20.500.12110/paper_00222488_v34_n2_p610_Bollinia
work_keys_str_mv AT giambiagijuanjose arbitrarypowersofdalembertiansandthehuygensprinciple
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