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

Faculty of Liberal Arts

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

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.

Original language	English
Pages (from-to)	1491-1497
Number of pages	7
Journal	Journal of Mathematical Physics
Volume	32
Issue number	6
DOIs	https://doi.org/10.1063/1.529255
State	Published - 1991

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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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AU - Roque, Marco A.

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AB - 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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JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

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An algorithm to relate general solutions of different bidimensional problems

Abstract

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