2003/10/21 by Paulsamy Muruganandam, Sadhan K. Adhikari
Physics and Astronomy · #cond-mat.soft #nlin.PS
published as Proc. First National Conferece on Nonlinear Dynamics & Syst., Dec. 28-30, 2003 (IIT, Kharaghpur, 2003) pp.73-76 · 4 pages, 2 eps figures, to appear in the conference proceedings - NCNSD (Dec. 28-30 2003), IIT, Kharaghpur, India
arxiv created 2003/10/21 · arxiv updated 2009/12/01
We study certain stationary and time-evolution problems of trapped Bose-Einstein condensates of weakly interacting alkali atoms described by a nonlinear Gross-Pitaevskii (GP) equation. We suggest a pseudospectral method involving Laguerre polynomials to solve the time dependent GP for a spherically symmetric trap potential. The radial wavefunction and energy values have been calculated for different nonlinearities. Further, we study the effect of suddenly changing the interatomic scattering length or harmonic oscillator trap potential in the condensate. We also investigate the frequency of oscillation due to the variation in the strength of nonlinearity.