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.
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 |