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- W3100245181 abstract "We show how the Schr{o}dinger equation for the hydrogen atom in two dimensions gives rise to an algebraic family of Harish-Chandra pairs that codifies hidden symmetries. The hidden symmetries vary continuously between $SO(3)$, $SO(2,1)$ and the Euclidean group $O(2)ltimes mathbb{R}^2$. We show that solutions of the Schr{o}dinger equation may be organized into an algebraic family of Harish-Chandra modules. Furthermore, we use Jantzen filtration techniques to algebraically recover the spectrum of the Schr{o}dinger operator. This is a first application to physics of the algebraic families of Harish-Chandra pairs and modules developed in the work of Bernstein et al. [Int. Math. Res. Notices, rny147 (2018); rny146 (2018)]." @default.
- W3100245181 created "2020-11-23" @default.
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- W3100245181 date "2018-07-01" @default.
- W3100245181 modified "2023-09-23" @default.
- W3100245181 title "Symmetries of the hydrogen atom and algebraic families" @default.
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- W3100245181 doi "https://doi.org/10.1063/1.5018061" @default.
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