On Darboux's Approach to R-Separability of Variables

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2011
• Main Authors: Sym, A., Szereszewski, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147413
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Darboux's Approach to R-Separability of Variables / A. Sym, A. Szereszewski // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 34 назв. — англ.

We discuss the problem of R-separability (separability of variables with a factor R) in the stationary Schrödinger equation on n-dimensional Riemann space. We follow the approach of Gaston Darboux who was the first to give the first general treatment of R-separability in PDE (Laplace equation on E³)...