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.
Original language | English (US) |
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Pages (from-to) | 1560-1565 |
Number of pages | 6 |
Journal | Journal of Mathematical Physics |
Volume | 26 |
Issue number | 7 |
DOIs | |
State | Published - 1985 |
Externally published | Yes |