Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/69859
標題: A spectral-Galerkin continuation method using Chebyshev polynomials for the numerical solutions of the Gross-Pitaevskii equation
作者: Wang, Y.S.
Chien, C.S.
期刊/報告no:: Journal of Computational and Applied Mathematics, Volume 235, Issue 8, Page(s) 2740-2757.
摘要: We study an efficient spectral-Galerkin continuation method (SGCM) and two-grid centered difference approximations for the numerical solutions of the Gross-Pitaevskii equation (GPE), where the second kind Chebyshev polynomials are used as the basis functions for the trial function space. Some basic formulae for the SGCM are derived so that the eigenvalues of the associated linear eigenvalue problems can be easily computed. The SGCM is implemented to investigate the ground and first excited-state solutions of the GPE. Both the parabolic and quadruple-well trapping potentials are considered. We also study Bose-Einstein condensates (BEC) in optical lattices, where the periodic potential described by the sine or cosine functions is imposed on the GPE. Of particular interest here is the investigation of symmetry-breaking solutions. Sample numerical results are reported. (C) 2010 Elsevier B.V. All rights reserved.
URI: http://hdl.handle.net/11455/69859
ISSN: 0377-0427
文章連結: http://dx.doi.org/10.1016/j.cam.2010.11.024
Appears in Collections:期刊論文

文件中的檔案:

取得全文請前往華藝線上圖書館



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.