Geodesic
The geometry of electron wave functions
Sbornik. Mathematics, Tome 204 (2013) no. 2, pp. 155-181 Cet article a éte moissonné depuis la source Math-Net.Ru

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To each wave function we assign a codimension-two submanifold in Euclidean space. We study the case of the wave function of a single electron in the hydrogen atom or other hydrogen-type atoms with quantum numbers $n$, $l$, $m$ in detail. We prove theorems describing the behaviour of the scalar and sectional curvature of the constructed submanifold, depending on the quantum numbers. We also consider the external geometry of the submanifold. Bibliography: 9 titles.
Keywords: hydrogen atom, submanifold, curvature, quantum numbers. 
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Yu. A. Aminov. The geometry of electron wave functions. Sbornik. Mathematics, Tome 204 (2013) no. 2, pp. 155-181. http://geodesic.mathdoc.fr/item/SM_2013_204_2_a0/

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