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Teoreticheskaya i Matematicheskaya Fizika, 1975, Volume 23, Number 1, Pages 69–77 (Mi tmf3786)  
Schrödinger equation in helical coordinates

T. Garaval'ya, D. Gomatam
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Abstract: Orthogonal coordinate systems with helical geometry are constructed in euclidean three-dimensional space and the Schrödinger equations in these coordinate systems are obtained. Of the two helical coordinate systems discussed, the external system consists of flat surfaces while the internal system consists of surfaces of constant Gaussian curvature. A singular cylinder separates these two systems.
Received: 12.05.1974
English version:
Theoretical and Mathematical Physics, 1975, Volume 23, Issue 1, Pages 356–361
DOI: https://doi.org/10.1007/BF01038219
Language: Russian
Citation: T. Garaval'ya, D. Gomatam, “Schrödinger equation in helical coordinates”, TMF, 23:1 (1975), 69–77; Theoret. and Math. Phys., 23:1 (1975), 356–361
Citation in format AMSBIB
\Bibitem{GarGom75}
\by T.~Garaval'ya, D.~Gomatam
\paper Schr\"odinger equation in helical coordinates
\jour TMF
\yr 1975
\vol 23
\issue 1
\pages 69--77
\mathnet{http://mi.mathnet.ru/tmf3786}
\transl
\jour Theoret. and Math. Phys.
\yr 1975
\vol 23
\issue 1
\pages 356--361
\crossref{https://doi.org/10.1007/BF01038219}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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