English

About conditions of spatial collapse in an infinite system of Bose particles

Quantum Gases 2022-01-21 v1 Quantum Physics

Abstract

Using the variational principle, we show that the condition of spatial collapse in a Bose gas is not determined by the value of the scattering length of the interaction potential between particles contrary to the result following from the Gross--Pitaevskii equation, where the collapse should take place at a negative scattering length.

Keywords

Cite

@article{arxiv.2201.07900,
  title  = {About conditions of spatial collapse in an infinite system of Bose particles},
  author = {B. E. Grinyuk and K. A. Bugaev},
  journal= {arXiv preprint arXiv:2201.07900},
  year   = {2022}
}

Comments

3 pages, 1 Encapsulated PostScript figure, uses ujp.sty