# The generalized parabolic Coulomb wavefunction in spherical coordinates

@article{Gasaneo2001TheGP, title={The generalized parabolic Coulomb wavefunction in spherical coordinates}, author={Gustavo Gasaneo and Flavio D. Colavecchia and S. Otranto and Carlos Roberto Garibotti}, journal={Journal of Physics A}, year={2001}, volume={34}, pages={8531-8542} }

In this work we present a detailed study of the recently introduced Δm,n basis for three Coulomb particles. We show that the scattering and generalized Coulomb problems as well as a Φ2 approach can be viewed as particular cases of this basis. We derive a partial wave expansion for Δm,n functions and analyse the reduction to some of the precedent cases.

## 2 Citations

One- and two-dimensional Coulomb Green's function matrices in parabolic Sturmians basis

- Mathematics
- 2008

One- and two-dimensional operators which originate from the asymptotic form of the three-body Coulomb wave equation in parabolic coordinates are treated within the context of a square integrable…

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