Differential-Stäckel matrices

Kalnins, Ernie G.; Miller, W., Jr.

doi:10.1063/1.526917

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Kalnins, E.G. & Miller, W., Jr. (1985). Differential-Stäckel matrices. Journal of Mathematical Physics, 26, 1560.

Permanent Research Commons link: https://hdl.handle.net/10289/1224

Abstract

We show that additive separation of variables for linear homogeneous equations of all orders is characterized by differential-Stäckel matrices, generalizations of the classical Stäckel matrices used for multiplicative separation of (second-order) Schrödinger equations and additive separation of Hamilton–Jacobi equations. We work out the principal properties of these matrices and demonstrate that even for second-order Laplace equations additive separation may occur when multiplicative separation does not.

Date

1985-07

Type

Journal Article

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Copyright 1985 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in the Journal of Mathematical Physics and may be found at http://jmp.aip.org/jmp/top.jsp

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