Spherical to Cartesian Coordinates Transformation for Solid Harmonics Revisited
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908455156056064 |
|---|---|
| author | Ribaldone, Chiara Desmarais, Jacques Kontak |
| author_facet | Ribaldone, Chiara Desmarais, Jacques Kontak |
| contents | Spherical Harmonic Gaussian type orbitals and Slater functions can be expressed using spherical coordinates or a linear combinations of the appropriate Cartesian functions. General expressions for the transformation coefficients between the two representations are provided. Values for the transformation coefficients are tabulated up to the quantum number $\ell = 10$. The formula is applied to construct the Hartree potential by an arbitrary-order multipole expansion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_16733 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spherical to Cartesian Coordinates Transformation for Solid Harmonics Revisited Ribaldone, Chiara Desmarais, Jacques Kontak Other Condensed Matter Materials Science Atomic and Molecular Clusters Chemical Physics Computational Physics Spherical Harmonic Gaussian type orbitals and Slater functions can be expressed using spherical coordinates or a linear combinations of the appropriate Cartesian functions. General expressions for the transformation coefficients between the two representations are provided. Values for the transformation coefficients are tabulated up to the quantum number $\ell = 10$. The formula is applied to construct the Hartree potential by an arbitrary-order multipole expansion. |
| title | Spherical to Cartesian Coordinates Transformation for Solid Harmonics Revisited |
| topic | Other Condensed Matter Materials Science Atomic and Molecular Clusters Chemical Physics Computational Physics |
| url | https://arxiv.org/abs/2412.16733 |