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Non-orthogonal separable coordinate systems for the flat 4-space Helmholtz equation

E G Kalnins

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A complete classification of separable non-orthogonal systems for the flat space Helmholtz equation is given. The relation between separability conditions for the various systems and the classification of abelian sub-algebras of the Euclidean symmetry algebra epsilon (4) is explicitly indicated.


PACS

02.30.Jr Partial differential equations

02.40.Dr Euclidean and projective geometries

MSC

35J05 Laplace equation, reduced wave equation (Helmholtz), Poisson equation (See also 31Axx, 31Bxx)

51M05 Euclidean geometries (general) and generalizations

Subjects

Mathematical physics

Dates

Issue 8 (August 1979)



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