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The theory of orthogonal R-separation for Helmholtz equations

✍ Scribed by E.G Kalnins; W Miller Jr.

Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
669 KB
Volume
51
Category
Article
ISSN
0001-8708

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✦ Synopsis

We develop the theory of orthogonal R-separation for the Helmholtz equation on a pseudo-Riemannian manifold and show that it, and not ordinary variable separation, is the natural analogy of additive separation for the Hamiltonian-Jacobi equation.

We provide a coordinate-free characterization of R-separation in terms of commuting symmetry operators.

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