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Polyelliptic coordinates for solving the Schrödinger and Helmholtz equations (1409.6761v1)
Published 23 Sep 2014 in math-ph and math.MP
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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