An algorithm to relate general solutions of different bidimensional problems

Sergio A. Hojman; Sergio Chayet; Darío Núñez; Marco A. Roque

doi:10.1063/1.529255

An algorithm to relate general solutions of different bidimensional problems

Sergio A. Hojman, Sergio Chayet, Darío Núñez, Marco A. Roque

Facultad de Artes Liberales

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

15 Citas (Scopus)

Resumen

A sufficient condition to relate the general solutions of two different bidimensional problems, both in classical and quantum mechanics, is found. The point transformation, as well as the explicit construction of the related potentials, is presented. The procedure is then used in geometrical optics, the vibrating membrane, and other physical systems in two dimensions. Several examples and applications are worked out.

Idioma original	Inglés
Páginas (desde-hasta)	1491-1497
Número de páginas	7
Publicación	Journal of Mathematical Physics
Volumen	32
N.º	6
DOI	https://doi.org/10.1063/1.529255
Estado	Publicada - 1991

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title = "An algorithm to relate general solutions of different bidimensional problems",

abstract = "A sufficient condition to relate the general solutions of two different bidimensional problems, both in classical and quantum mechanics, is found. The point transformation, as well as the explicit construction of the related potentials, is presented. The procedure is then used in geometrical optics, the vibrating membrane, and other physical systems in two dimensions. Several examples and applications are worked out.",

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An algorithm to relate general solutions of different bidimensional problems

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