A Condensation of Interacting Bosons in Two Dimensional Space
| dc.creator | Rajeev, S. G. | |
| dc.date | 1999-05-17 | |
| dc.date.accessioned | 2026-07-07T04:26:29Z | |
| dc.date.available | 2026-07-07T04:26:29Z | |
| dc.description | We develop a theory of non-relativistic bosons in two spatial dimensions with a weak short range attractive interaction. In the limit as the range of the interaction becomes small, there is an ultra-violet divergence in the problem. We devise a scheme to remove this divergence and produce a completely finite formulation of the theory. This involves reformulating the dynamics in terms of a new operator whose eigenvalues give the {\it logarithm} of the energy levels. Then, a mean field theory is developed which allows us to describe the limit of a large number of bosons. The ground state is a new kind of condensate (soliton) of bosons that breaks translation invariance spontaneously. The ground state energy is negative and its magnitude grows {\it exponentially} with the number of particles, rather than like a power law as for conventional many body systems. | |
| dc.description | Latex 13 pages, .eps figures | |
| dc.identifier | https://arxiv.org/abs/hep-th/9905120 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9905120 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56066 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Optics | |
| dc.title | A Condensation of Interacting Bosons in Two Dimensional Space | |
| dc.type | text |