R-separation of variables for the time-dependent Hamilton-Jacobi and Schrödinger equations

E. G. Kalnins; Willard Miller

doi:10.1063/1.527592

R-separation of variables for the time-dependent Hamilton-Jacobi and Schrödinger equations

E. G. Kalnins, Willard Miller

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8 Scopus citations

Abstract

The theory of R-separation of variables is developed for the time-dependent Hamilton-Jacobi and Schrödinger equations on a Riemannian manifold V ⁿ where time-dependent vector and scalar potentials are permitted. As an application it is shown how to obtain all R-separable coordinates for the n-sphere and Euclidean n-space.

Original language	English (US)
Pages (from-to)	1005-1015
Number of pages	11
Journal	Journal of Mathematical Physics
Volume	28
Issue number	5
DOIs	https://doi.org/10.1063/1.527592
State	Published - 1987
Externally published	Yes

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title = "R-separation of variables for the time-dependent Hamilton-Jacobi and Schr{\"o}dinger equations",

abstract = "The theory of R-separation of variables is developed for the time-dependent Hamilton-Jacobi and Schr{\"o}dinger equations on a Riemannian manifold V n where time-dependent vector and scalar potentials are permitted. As an application it is shown how to obtain all R-separable coordinates for the n-sphere and Euclidean n-space.",

author = "Kalnins, {E. G.} and Willard Miller",

year = "1987",

doi = "10.1063/1.527592",

language = "English (US)",

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pages = "1005--1015",

journal = "Journal of Mathematical Physics",

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T1 - R-separation of variables for the time-dependent Hamilton-Jacobi and Schrödinger equations

AU - Kalnins, E. G.

AU - Miller, Willard

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AB - The theory of R-separation of variables is developed for the time-dependent Hamilton-Jacobi and Schrödinger equations on a Riemannian manifold V n where time-dependent vector and scalar potentials are permitted. As an application it is shown how to obtain all R-separable coordinates for the n-sphere and Euclidean n-space.

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DO - 10.1063/1.527592

M3 - Article

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JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 5

ER -

R-separation of variables for the time-dependent Hamilton-Jacobi and Schrödinger equations

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