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Abstract:

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.

Registro:

Documento: Artículo
Título:Arbitrary powers of D'Alembertians and the Huygens' principle
Autor:Bollinia, C.G.; Giambiagi, J.J.
Filiación:Centro Brasileiro de Pesquisas Físicas - CBPF/CNPq, Rua Dr. Xavier Sigaud, 150, 22290 - Rio de Janeiro, RJ, Brazil
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de La Plata, Argentina
Comisión de Investigaciones Científicas de la Provincia de Buenos Aires, Argentina
Centro Latino Americano de Física - CLAF, Av. Wenceslau Braz, 71 - fundos, 22290 - Rio de Janeiro, RJ, Brazil
Idioma: Inglés
Año:1993
Volumen:34
Número:2
Página de inicio:610
Página de fin:621
Título revista:Journal of Mathematical Physics
ISSN:00222488
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00222488_v34_n2_p610_Bollinia.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v34_n2_p610_Bollinia

Citas:

---------- APA ----------
Bollinia, C.G. & Giambiagi, J.J. (1993) . Arbitrary powers of D'Alembertians and the Huygens' principle. Journal of Mathematical Physics, 34(2), 610-621.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v34_n2_p610_Bollinia [ ]
---------- CHICAGO ----------
Bollinia, C.G., Giambiagi, J.J. "Arbitrary powers of D'Alembertians and the Huygens' principle" . Journal of Mathematical Physics 34, no. 2 (1993) : 610-621.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v34_n2_p610_Bollinia [ ]
---------- MLA ----------
Bollinia, C.G., Giambiagi, J.J. "Arbitrary powers of D'Alembertians and the Huygens' principle" . Journal of Mathematical Physics, vol. 34, no. 2, 1993, pp. 610-621.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v34_n2_p610_Bollinia [ ]
---------- VANCOUVER ----------
Bollinia, C.G., Giambiagi, J.J. Arbitrary powers of D'Alembertians and the Huygens' principle. 1993;34(2):610-621.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00222488_v34_n2_p610_Bollinia [ ]