Differential-Stäckel matrices | Zendy

E. G. Kalnins | Zendy; Willard Miller | Zendy

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Differential-Stäckel matrices

Author(s) -

E. G. Kalnins,

Willard Miller

Publication year - 1985

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.526917

Subject(s) - separation of variables , mathematics , multiplicative function , laplace transform , differential equation , separation (statistics) , mathematical analysis , homogeneous , partial differential equation , combinatorics , statistics

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

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