Internet Archive Scholar

Conformal symmetry and the nonlinear Schrödinger equation

Pijush K. Ghosh
2001 Physical Review A. Atomic, Molecular, and Optical Physics  

Preserved Fulltext

fulltext thumbnail
File Archive PDF (142.4 kB)
https://archive.org/download/arxiv-cond-mat0102488/cond-mat0102488.pdf

The Internet Archive has a preservation copy of this work in our general collections. The file type is application/pdf.

Note that this fulltext copy is not of the "primary" version of this work. The version it corresponds to is:

2001 accepted arXiv:cond-mat/0102488v3 fatcat:yg3krbh6u5cfvgw4kdiu5ssdhy

Other Versions

2001 pre-print
arXiv:cond-mat/0102488v1 fatcat:v75gsmry2zgf5bxqptqjmvae3a
2001 pre-print
arXiv:cond-mat/0102488v2 fatcat:374hy22ghzh7fnwaz44g2oxeta
We show that the width of the wave-packet of a class of generalized nonlinear Schrodinger equations (NLSE) trapped in an arbitrary time-dependent harmonic well in any dimensions is universally determined by the same Hill's equation. This class of generalized NLSE is characterized by a dynamical O(2,1) symmetry in absence of the trap. As an application, we study the dynamical instabilities of the rotating as well as non-rotating Bose-Einstein condensates in one and two dimensions. We also show
more » ... act extended parametric resonance in a non-relativistic Chern-Simons theory producing a gauged NLSE.
doi:10.1103/physreva.65.012103 fatcat:cir2nljk2nc67aezcc2ch6ml5m
Multiple Versions
Citation

Pijush K. Ghosh. "Conformal symmetry and the nonlinear Schrödinger equation." Physical Review A. Atomic, Molecular, and Optical Physics 65.1 (2001)