Special functions in phase space: Mathieu functions

Go Torres-Vega; J. D. Morales-Guzmán; A. Zúñiga-Segundo

doi:10.1088/0305-4470/31/31/017

Special functions in phase space: Mathieu functions

Go Torres-Vega, J. D. Morales-Guzmán, A. Zúñiga-Segundo

Escuela Superior de Física y Matemáticas (ESFM)

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

8 Citas (Scopus)

Resumen

We introduce functions which are solutions to a coherent-state representation of the Shrödinger equation for the pendulum potential These functions are interpolation functions between the coordinate and momentum solutions for the quantum pendulum. We also introduce their classical analogues which are stationary solutions to the classical Liouville equation.

Idioma original	Inglés
Páginas (desde-hasta)	6725-6739
Número de páginas	15
Publicación	Journal of Physics A: Mathematical and General
Volumen	31
N.º	31
DOI	https://doi.org/10.1088/0305-4470/31/31/017
Estado	Publicada - 7 ago. 1998

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title = "Special functions in phase space: Mathieu functions",

abstract = "We introduce functions which are solutions to a coherent-state representation of the Shr{\"o}dinger equation for the pendulum potential These functions are interpolation functions between the coordinate and momentum solutions for the quantum pendulum. We also introduce their classical analogues which are stationary solutions to the classical Liouville equation.",

author = "Go Torres-Vega and Morales-Guzm{\'a}n, {J. D.} and A. Z{\'u}{\~n}iga-Segundo",

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AU - Zúñiga-Segundo, A.

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Y1 - 1998/8/7

N2 - We introduce functions which are solutions to a coherent-state representation of the Shrödinger equation for the pendulum potential These functions are interpolation functions between the coordinate and momentum solutions for the quantum pendulum. We also introduce their classical analogues which are stationary solutions to the classical Liouville equation.

AB - We introduce functions which are solutions to a coherent-state representation of the Shrödinger equation for the pendulum potential These functions are interpolation functions between the coordinate and momentum solutions for the quantum pendulum. We also introduce their classical analogues which are stationary solutions to the classical Liouville equation.

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DO - 10.1088/0305-4470/31/31/017

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Special functions in phase space: Mathieu functions

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