Geodesic
Schrödinger equation in helical coordinates
Teoretičeskaâ i matematičeskaâ fizika, Tome 23 (1975) no. 1, pp. 69-77 
T. Garaval'ya; D. Gomatam. Schrödinger equation in helical coordinates. Teoretičeskaâ i matematičeskaâ fizika, Tome 23 (1975) no. 1, pp. 69-77. http://geodesic.mathdoc.fr/item/TMF_1975_23_1_a6/
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     author = {T. Garaval'ya and D. Gomatam},
     title = {Schr\"odinger equation in helical coordinates},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {69--77},
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     volume = {23},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1975_23_1_a6/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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