Stability analysis of the D-dimensional nonlinear Schroedinger equation with trap and two- and three-body interactions

Details Stability analysis of the D-dimensional nonlinear Schroedinger equation with trap and two- and three-body interactions Stability analysis of the D-dimensional nonlinear Schroedinger equation with trap and two- and three-body interactions

2000-02-02

arxiv.org/abs/cond-mat/0002042v1

Phys. Lett. A 267, 305-311 (2000).

Physics

Condensed Matter

Soft Condensed Matter

6 pages, 7 figures

Scientific paper

10.1016/S0375-9601(00)00114-6

Considering the static solutions of the D-dimensional nonlinear Schroedinger equation with trap and attractive two-body interactions, the existence of stable solutions is limited to a maximum critical number of particles, when D is greater or equal 2. In case D=2, we compare the variational approach with the exact numerical calculations. We show that, the addition of a positive three-body interaction allows stable solutions beyond the critical number. In this case, we also introduce a dynamical analysis of the conditions for the collapse.

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