Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2007-02-12
Eur. Phys J. D 42 (2007) 279-286
Physics
Condensed Matter
Other Condensed Matter
8 pages, 12 figures
Scientific paper
10.1140/epjd/e2007-00006-0
Using variational and numerical solutions we show that stationary negative-energy localized (normalizable) bound states can appear in the three-dimensional nonlinear Schr\"odinger equation with a finite square-well potential for a range of nonlinearity parameters. Below a critical attractive nonlinearity, the system becomes unstable and experiences collapse. Above a limiting repulsive nonlinearity, the system becomes highly repulsive and cannot be bound. The system also allows nonnormalizable states of infinite norm at positive energies in the continuum. The normalizable negative-energy bound states could be created in BECs and studied in the laboratory with present knowhow.
No associations
LandOfFree
Finite-well potential in the 3D nonlinear Schroedinger equation: Application to Bose-Einstein condensation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Finite-well potential in the 3D nonlinear Schroedinger equation: Application to Bose-Einstein condensation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Finite-well potential in the 3D nonlinear Schroedinger equation: Application to Bose-Einstein condensation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-633254