Differential-Stäckel matrices

E. G. Kalnins, Willard Miller

Research output: Contribution to journalArticlepeer-review

37 Scopus citations

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 languageEnglish (US)
Pages (from-to)1560-1565
Number of pages6
JournalJournal of Mathematical Physics
Volume26
Issue number7
DOIs
StatePublished - 1985

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