Exact Solution of a N-body Problem in One Dimension
| dc.creator | Khare, Avinash | |
| dc.date | 1995-10-15 | |
| dc.date.accessioned | 2026-07-07T10:58:38Z | |
| dc.date.available | 2026-07-07T10:58:38Z | |
| dc.description | Complete energy spectrum is obtained for the quantum mechanical problem of N one dimensional equal mass particles interacting via potential $$V(x_1,x_2,...,x_N) = g\sum^N_{i < j}{1\over (x_i-x_j)^2} - {α\over \sqrt{\sum_{i < j} (x_i-x_j)^2}}$$ Further, it is shown that scattering configuration, characterized by initial momenta $p_i (i=1,2,...,N)$ goes over into a final configuration characterized uniquely by the final momenta $p'_i$ with $p'_i=p_{N+1-i}$. | |
| dc.description | 8 pages, tex file, no figures, sign in the first term on the right hand side of eq.3 corrected | |
| dc.identifier | https://arxiv.org/abs/hep-th/9510096 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9510096 | |
| dc.identifier | J.Phys.A29:L45-L48,1996; J.Phys.A29:6459-6460,1996 | |
| dc.identifier | doi:10.1088/0305-4470/29/19/029 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/187169 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Condensed Matter | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Exact Solution of a N-body Problem in One Dimension | |
| dc.type | text |