Multipole expansions in four-dimensional hyperspherical harmonics
| dc.creator | Meremianin, A. V. | |
| dc.date | 2005-10-24 | |
| dc.date | 2006-06-27 | |
| dc.date.accessioned | 2026-07-07T09:53:00Z | |
| dc.date.available | 2026-07-07T09:53:00Z | |
| dc.description | The technique of vector differentiation is applied to the problem of the derivation of multipole expansions in four-dimensional space. Explicit expressions for the multipole expansion of the function $r^n C_j (\hr)$ with $\vvr=\vvr_1+\vvr_2$ are given in terms of tensor products of two hyperspherical harmonics depending on the unit vectors $\hr_1$ and $\hr_2$. The multipole decomposition of the function $(\vvr_1 \cdot \vvr_2)^n$ is also derived. The proposed method can be easily generalised to the case of the space with dimensionality larger than four. Several explicit expressions for the four-dimensional Clebsch-Gordan coefficients with particular values of parameters are presented in the closed form. | |
| dc.description | 19 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/math-ph/0510080 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0510080 | |
| dc.identifier | J. Phys. A, vol. 39, p.3099, 2006 | |
| dc.identifier | doi:10.1088/0305-4470/39/12/017 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/165796 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 33C55 | |
| dc.title | Multipole expansions in four-dimensional hyperspherical harmonics | |
| dc.type | text |