One-dimensional Bosons in Three-dimensional Traps
Lieb, Elliott H. ; Seiringer, Robert ; Yngvason, Jakob
arXiv, 0304071 / Harvested from arXiv
Text on arXiv
Recent experimental and theoretical work has indicated conditions in which a trapped, low-density Bose gas ought to behave like the 1D delta-function Bose gas solved by Lieb and Liniger. Up to now the theoretical arguments have been based on variational - perturbative ideas or numerical investigations. There are 4 parameters: density, transverse and longitudinal dimensions, and scattering length. In this paper we explicate 5 parameter regions in which various types of 1D or 3D behavior occur. Our discussion is based on a rigorous analysis of the many-body Schroedinger equation. This version of the article is a combination of the earlier 4-page arXiv version and the revised 4-page Physical Review Letters version.
Publié le : 2003-04-02
Classification:  Condensed Matter - Statistical Mechanics,  Mathematical Physics 
@article{0304071,
     author = {Lieb, Elliott H. and Seiringer, Robert and Yngvason, Jakob},
     title = {One-dimensional Bosons in Three-dimensional Traps},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0304071}
}

Lieb, Elliott H.; Seiringer, Robert; Yngvason, Jakob. One-dimensional Bosons in Three-dimensional Traps. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0304071/