Polyelliptic coordinates for solving the Schrödinger and Helmholtz equations

2014/09/23 by Gennady V. Kovalev, Kovalev, Gennady V.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1409.6761

6 pages, 7 figures, submitted to JETP Letters

arxiv created 2014/09/23 · arxiv updated 2014/09/25

Abstract

Several local elliptic coordinates are used to build a new polyelliptic coordinate system which is orthogonal and admits the separation of variables. Such coordinate systems can give the exact solutions of some unsolved problems in quantum mechanics and diffraction theory.

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