2013/12/13 by Gennady V. Kovalev, Kovalev, Gennady V.
Mathematics · Physics and Astronomy · #Experimental and Theoretical Physics Studies #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum and Classical Electrodynamics #Scientific Research and Discoveries #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1312.3866
4 pages, 5 figures, Submitted to JETP letters Nov. 10, 2013
arxiv created 2013/12/13 · openalex publication_date 2013/12/13 · arxiv updated 2013/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The elliptic coordinates are used to build a new families of 2D coordinate systems which are orthogonal and admits the separation of variables. The charts of characteristic curves are constructed for these systems and compared with Mathieu's. The possible applications are in quantum mechanics, diffraction theory, vibrations and classical dynamics.