Bhaduri, RK and Ghosh, Sankalpa and Murthy, MVN (2001) Solitons in a one-dimensional interacting Bose-Einstein system. In: Journal of Physics. A. Mathematical and General, 34 . pp. 6553-6564.
![[img]](http://eprints.iisc.ac.in/style/images/fileicons/application_pdf.png)
|
PDF
2.pdf Download (103kB) |
Abstract
A modified Gross-Pitaevskii approximation was recently introduced for bosons in dimension d≤2 by Kolomeisky et al (Kolomeisky E B, Newman T J, Straley J P and Qi X 2000 Phys. Rev. Lett. 85 1146). We use the density-functional approach with a sixth-degree interaction energy term in the Bose field to reproduce the stationary-frame results of Kolomeisky et al for a one-dimensional Bose-Einstein system with a repulsive interaction. We also find a soliton solution for an attractive interaction, which may be boosted to a finite velocity by a Galilean transformation. The stability of such a soliton is discussed analytically. We provide a general treatment of stationary solutions in one dimension which includes the above solutions as special cases. This treatment leads to a variety of stationary wave solutions for both attractive and repulsive interactions.
| Item Type: | Journal Article |
|---|---|
| Publication: | Journal of Physics. A. Mathematical and General |
| Publisher: | IOP Publishing Ltd. |
| Additional Information: | The copyright belongs to IOP Publishing Ltd. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003) |
| Date Deposited: | 12 Nov 2007 |
| Last Modified: | 19 Sep 2010 04:41 |
| URI: | http://eprints.iisc.ac.in/id/eprint/12418 |
Actions (login required)
 |
View Item |
