Abstract
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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 91-106 |
| Number of pages | 16 |
| Journal | Advances in Mathematics |
| Volume | 51 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 1984 |
Bibliographical note
Funding Information:One of us (W.M.) would like to thank the University of Waikato for a Postdoctoral Fellowship and kind hospitality which made this collaboration possible.
Funding Information:
in part by NSF Grant