| Journal: | Revista mexicana de física E |
| Database: | PERIÓDICA |
| System number: | 000407305 |
| ISSN: | 1870-3542 |
| Authors: | Esparza López, C1 Ley-Koo, E1 Rendón, P.L2 |
| Institutions: | 1Universidad Nacional Autónoma de México, Instituto de Física, Ciudad de México. México 2Universidad Nacional Autónoma de México, Centro de Ciencias Aplicadas y Desarrollo Tecnológico, Ciudad de México. México |
| Year: | 2016 |
| Season: | Ene-Jun |
| Volumen: | 62 |
| Number: | 1 |
| Pages: | 40-43 |
| Country: | México |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico, descriptivo |
| English abstract | The solutions of the Laplace-Beltrami equation on a spherical surface are constructed by the method of separation of variables, as the products of the Fourier basis functions of the azimuthal angle and the integer powers of tangent or cotangent functions of half the polar angle. The Legendre operator acting on the latter functions yields zero. The construction of the Green’s function as the solution of the corresponding Poisson-Beltrami equation with a unit point source on the spherical surface is also constructed using the two-dimensional spherical harmonic basis |
| Disciplines: | Física y astronomía, Matemáticas |
| Keyword: | Física, Matemáticas aplicadas, Análisis funcional, Ecuaciones diferenciales parciales, Operador de Laplace-Beltrami, Función de Green |
| Keyword: | Physics and astronomy, Mathematics, Physics, Applied mathematics, Functional analysis, Partial differential equations, Laplace-Beltrami operator, Green function |
| Full text: | Texto completo (Ver PDF) |
