General Decomposition of Radial Functions on R^n and Applications to N-Body Quantum Systems
| dc.creator | Hainzl, Christian | |
| dc.creator | Seiringer, Robert | |
| dc.date | 2001-07-11 | |
| dc.date | 2002-06-18 | |
| dc.date.accessioned | 2026-07-25T22:16:24Z | |
| dc.description | We present a generalization of the Fefferman-de la Llave decomposition of the Coulomb potential to quite arbitrary radial functions $V$ on $R^n$ going to zero at infinity. This generalized decomposition can be used to extend previous results on $N$-body quantum systems with Coulomb interaction to a more general class of interactions. As an example of such an application we derive the high density asymptotics of the ground state energy of jellium with Yukawa interaction in the thermodynamic limit, using a correlation estimate by Graf and Solovej. | |
| dc.description | revised and extended version; to appear in Lett. Math. Phys | |
| dc.identifier | https://arxiv.org/abs/math-ph/0107011 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0107011 | |
| dc.identifier | Lett. Math. Phys. 61, 75 (2002) | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/87494 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | General Decomposition of Radial Functions on R^n and Applications to N-Body Quantum Systems | |
| dc.type | text |