Coalescence constraints of many-body systems in one dimension
| dc.creator | Pan, Xiao-Yin | |
| dc.creator | Sahni, Viraht | |
| dc.date | 2003-09-09 | |
| dc.date.accessioned | 2026-07-07T02:53:22Z | |
| dc.date.available | 2026-07-07T02:53:22Z | |
| dc.description | For one-dimensional many-body systems interacting via the \textit{Coulomb force} and with \textit{arbitrary} external potential energy, we derive (\textit{i}) the \textit{node coalescence condition} for the wave function. This condition rigorously proves the following: (\textit{ii}) that the particles satisfy \textit{only} a node coalescence condition; (\textit{iii}) that irrespective of their charge or statistics, the particles cannot coalesce; (\textit{iv}) that the particles cannot cross each other, and must be ordered; (\textit{v}) the particles are therefore distinguishable; (\textit{vi}) as such their statistics are not significant; (\textit{vii}) conclusions similar to those of the spin-statistics theorem of quantum field theory are arrived at via non-relativistic quantum mechanics; (\textit{viii}) the noninteracting system \textit{cannot} be employed as the lowest-order in a perturbation theory of the interacting system. (\textit{ix}) Finally, the coalescence condition for particles with the short-ranged delta-function interaction and \textit{arbitrary} external potential energy, is also derived. These particles can coalesce and cross each other. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0309231 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0309231 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/22188 | |
| dc.subject | Materials Science | |
| dc.title | Coalescence constraints of many-body systems in one dimension | |
| dc.type | text |