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Volumn 15, Issue 5, 2005, Pages 767-782

On the Gross-Pitaevskii equation with strongly anisotropic confinement: Formal asymptotics and numerical experiments

Author keywords

Approximation error; Fourier expansion; Gross Pitaevskii equation; Spectral decomposition; Time splitting spectral techniques

Indexed keywords


EID: 18644371907     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202505000534     Document Type: Article
Times cited : (17)

References (9)
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    • Ground states and dynamics of multi-component Bose-Einstein condensates
    • W. Bao, Ground states and dynamics of multi-component Bose-Einstein condensates, SIAM Multiscale Model Simu. 2 (2004) 210-236.
    • (2004) SIAM Multiscale Model Simu. , vol.2 , pp. 210-236
    • Bao, W.1
  • 2
    • 0037408314 scopus 로고    scopus 로고
    • Numerical solution of the Gross-Pitaevskii equation for Bose-Einstein condensation
    • W. Bao, D. Jaksch and P. A. Markowich, Numerical solution of the Gross-Pitaevskii equation for Bose-Einstein condensation, J. Comput. Phys. 187 (2003) 318-342.
    • (2003) J. Comput. Phys. , vol.187 , pp. 318-342
    • Bao, W.1    Jaksch, D.2    Markowich, P.A.3
  • 4
    • 0036025581 scopus 로고    scopus 로고
    • Remarks on nonlinear Schrödinger equations with harmonic potential
    • R. Carles, Remarks on nonlinear Schrödinger equations with harmonic potential, Ann. Henri Poincaré 3 (2002) 757-772.
    • (2002) Ann. Henri Poincaré , vol.3 , pp. 757-772
    • Carles, R.1
  • 6
    • 85050669204 scopus 로고
    • The global Cauchy problem for the nonlinear Schrödinger equation revisited
    • J. Ginibre and G. Velo, The global Cauchy problem for the nonlinear Schrödinger equation revisited, Ann. Inst. H. Poincaré, Anal. Nonlinéaire 2 (1985) 309-327.
    • (1985) Ann. Inst. H. Poincaré, Anal. Nonlinéaire , vol.2 , pp. 309-327
    • Ginibre, J.1    Velo, G.2
  • 7
    • 0842281986 scopus 로고    scopus 로고
    • One-dimensional behaviour of dilute, trapped Bose gases
    • E. H. Lieb, R. Seiringer and J. Yngvason, One-dimensional behaviour of dilute, trapped Bose gases, Comm. Math. Phys. 244 (2004) 347-393.
    • (2004) Comm. Math. Phys. , vol.244 , pp. 347-393
    • Lieb, E.H.1    Seiringer, R.2    Yngvason, J.3
  • 8
    • 0001012104 scopus 로고
    • Cauchy problem and Ehrenfest's law of nonlinear Schrödinger equations with potentials
    • Y. G. Oh, Cauchy problem and Ehrenfest's law of nonlinear Schrödinger equations with potentials, J. Diff. Eqns. 81 (1989) 255-274.
    • (1989) J. Diff. Eqns. , vol.81 , pp. 255-274
    • Oh, Y.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.