Differential-Stäckel matrices
- 1 July 1985
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 26 (7) , 1560-1565
- https://doi.org/10.1063/1.526917
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 notKeywords
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