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Volumn 355, Issue 2, 2009, Pages 495-526

Eigenvalues of a nonlinear ground state in the Thomas-Fermi approximation

Author keywords

Bose Einstein; Gross Pitaevskii equation; Hydrodynamics limit; Thomas Fermi

Indexed keywords


EID: 62549098548     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2009.02.008     Document Type: Article
Times cited : (8)

References (21)
  • 2
    • 26044442830 scopus 로고    scopus 로고
    • Giant vortex and the breakdown of strong pinning in a rotating Bose-Einstein condensate
    • Aftalion A., Alama S., and Bronsard L. Giant vortex and the breakdown of strong pinning in a rotating Bose-Einstein condensate. Arch. Ration. Mech. Anal. 178 (2005) 247-286
    • (2005) Arch. Ration. Mech. Anal. , vol.178 , pp. 247-286
    • Aftalion, A.1    Alama, S.2    Bronsard, L.3
  • 3
    • 7544243527 scopus 로고    scopus 로고
    • Evolution of a dark soliton in a parabolic potential: Application to Bose-Einstein condensates
    • Brazhnyi V.A., and Konotop V.V. Evolution of a dark soliton in a parabolic potential: Application to Bose-Einstein condensates. Phys. Rev. A 68 (2003) 043613
    • (2003) Phys. Rev. A , vol.68 , pp. 043613
    • Brazhnyi, V.A.1    Konotop, V.V.2
  • 6
    • 46149141759 scopus 로고
    • Remarks on sublinear elliptic equations
    • Brezis H., and Oswald L. Remarks on sublinear elliptic equations. Nonlinear Anal. 10 (1986) 55-64
    • (1986) Nonlinear Anal. , vol.10 , pp. 55-64
    • Brezis, H.1    Oswald, L.2
  • 8
    • 18544363557 scopus 로고    scopus 로고
    • Exact solution of the Thomas-Fermi equation for a trapped Bose-Einstein condensate with dipole-dipole interactions
    • Eberlein C., Giovanazzi S., and O'Dell D.H.J. Exact solution of the Thomas-Fermi equation for a trapped Bose-Einstein condensate with dipole-dipole interactions. Phys. Rev. A 71 (2005) 033618
    • (2005) Phys. Rev. A , vol.71 , pp. 033618
    • Eberlein, C.1    Giovanazzi, S.2    O'Dell, D.H.J.3
  • 9
    • 33846238566 scopus 로고
    • Statistical method of investigating electrons in atoms
    • Fermi E. Statistical method of investigating electrons in atoms. Z. Phys. 48 (1928) 73-79
    • (1928) Z. Phys. , vol.48 , pp. 73-79
    • Fermi, E.1
  • 10
    • 0001699314 scopus 로고    scopus 로고
    • Hydrodynamic excitations of Bose condensates in anisotropic traps
    • Fliesser M., Csordas A., Szepfalusy P., and Graham R. Hydrodynamic excitations of Bose condensates in anisotropic traps. Phys. Rev. A 56 (1997) R2533-R2536
    • (1997) Phys. Rev. A , vol.56
    • Fliesser, M.1    Csordas, A.2    Szepfalusy, P.3    Graham, R.4
  • 13
    • 32544460861 scopus 로고    scopus 로고
    • The critical velocity for vortex existence in a two-dimensional rotating Bose-Einstein condensate
    • Ignat R., and Millot V. The critical velocity for vortex existence in a two-dimensional rotating Bose-Einstein condensate. J. Funct. Anal. 233 (2006) 260-306
    • (2006) J. Funct. Anal. , vol.233 , pp. 260-306
    • Ignat, R.1    Millot, V.2
  • 16
    • 0000949640 scopus 로고
    • Uniform asymptotic expansions for Weber parabolic cylinder functions of large order
    • Olver F.W.J. Uniform asymptotic expansions for Weber parabolic cylinder functions of large order. J. Res. NBS B 63 (1959) 131-169
    • (1959) J. Res. NBS B , vol.63 , pp. 131-169
    • Olver, F.W.J.1
  • 17
    • 27244456019 scopus 로고    scopus 로고
    • Oscillations of dark solitons in trapped Bose-Einstein condensates
    • Pelinovsky D.E., Frantzeskakis D., and Kevrekidis P.G. Oscillations of dark solitons in trapped Bose-Einstein condensates. Phys. Rev. E 72 (2005) 016615
    • (2005) Phys. Rev. E , vol.72 , pp. 016615
    • Pelinovsky, D.E.1    Frantzeskakis, D.2    Kevrekidis, P.G.3
  • 18
    • 62549118375 scopus 로고    scopus 로고
    • Periodic oscillations of dark solitons in parabolic potentials
    • Pelinovsky D.E., and Kevrekidis P.G. Periodic oscillations of dark solitons in parabolic potentials. Contemp. Math. 473 (2008) 159-180
    • (2008) Contemp. Math. , vol.473 , pp. 159-180
    • Pelinovsky, D.E.1    Kevrekidis, P.G.2
  • 20
    • 4243160819 scopus 로고    scopus 로고
    • Collective excitations of a trapped Bose-condensed gas
    • Stringari S. Collective excitations of a trapped Bose-condensed gas. Phys. Rev. Lett. 77 (1996) 2360-2363
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 2360-2363
    • Stringari, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.