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) |
|---|---|
| Pages (from-to) | 1560-1565 |
| Number of pages | 6 |
| Journal | Journal of Mathematical Physics |
| Volume | 26 |
| Issue number | 7 |
| DOIs | |
| State | Published - 1985 |