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- W1745755068 abstract "Removing al least one point from the unit sphere in $ R^{3}$ allows to factorize the angular part of the laplacian with a Cauchy-Riemann type operator. Solutions to this operator define a complex algebra of potential functions. A family of these solutions is shown to be normalizable on the sphere so it is possible to construct associate solutions for every radial solution to the time-independant Schrodinger equation with a radial potential, such that this family of solutions is square integrable in $R^{3}$. While this family of associated solutions are singular on at least one half-plane, they are square-integrable in almost all of $R^{3}$." @default.
- W1745755068 created "2016-06-24" @default.
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- W1745755068 date "2007-05-01" @default.
- W1745755068 modified "2023-09-27" @default.
- W1745755068 title "A note about the factorization of the angular part of the Laplacian and its application to the time-independent Schrödinger equation" @default.
- W1745755068 hasPublicationYear "2007" @default.
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