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Volumn 264, Issue 2, 2006, Pages 505-537

Derivation of the gross-pitaevskii equation for rotating bose gases

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EID: 33645993919     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-006-1524-9     Document Type: Review
Times cited : (207)

References (27)
  • 1
    • 4243961414 scopus 로고    scopus 로고
    • Vortices in a rotating Bose-Einstein condensate: Critical angular velocities and energy diagrams in the Thomas-Fermi regime
    • Aftalion, A., Du, Q.: Vortices in a rotating Bose-Einstein condensate: Critical angular velocities and energy diagrams in the Thomas-Fermi regime. Phys. Rev. A 64, 063603 (2001)
    • (2001) Phys. Rev. A , vol.64 , pp. 063603
    • Aftalion, A.1    Du, Q.2
  • 2
    • 0001614996 scopus 로고    scopus 로고
    • Predicted signatures of rotating Bose-Einstein condensates
    • Butts, D.A., Rokhsar, D.S.: Predicted signatures of rotating Bose-Einstein condensates. Nature 397, 327-329 (1999)
    • (1999) Nature , vol.397 , pp. 327-329
    • Butts, D.A.1    Rokhsar, D.S.2
  • 3
    • 0033473154 scopus 로고    scopus 로고
    • Bose-Einstein condensates with vortices in rotating traps
    • Castin, Y., Dum, R.: Bose-Einstein condensates with vortices in rotating traps. Eur. Phys. J. D 7, 399-412 (1999)
    • (1999) Eur. Phys. J. D , vol.7 , pp. 399-412
    • Castin, Y.1    Dum, R.2
  • 4
    • 84913198691 scopus 로고
    • New York: W.A. Benjamin
    • Choquet, G.: Lectures on Analysis, Vols. 1 and 2. New York: W.A. Benjamin, 1969
    • (1969) Lectures on Analysis , vol.1-2
    • Choquet, G.1
  • 5
    • 0002893542 scopus 로고
    • Ground state energy of a hard-sphere gas
    • Dyson, F.J.: Ground State Energy of a Hard-Sphere Gas. Phys. Rev. 106, 20-26 (1957)
    • (1957) Phys. Rev. , vol.106 , pp. 20-26
    • Dyson, F.J.1
  • 6
    • 0037175809 scopus 로고    scopus 로고
    • Polarization of interacting bosons with spin
    • Eisenberg, E., Lieb, E.H.: Polarization of interacting bosons with spin. Phys. Rev. Lett. 89, 220403 (2002)
    • (2002) Phys. Rev. Lett. , vol.89 , pp. 220403
    • Eisenberg, E.1    Lieb, E.H.2
  • 7
    • 0035952770 scopus 로고    scopus 로고
    • Vortices in a trapped dilute Bose-Einstein condensate
    • Fetter, A.L., Svidzinsky, A.A.: Vortices in a trapped dilute Bose-Einstein condensate. J. Phys.: Condens. Matter 13, R135-R194 (2001)
    • (2001) J. Phys.: Condens. Matter , vol.13
    • Fetter, A.L.1    Svidzinsky, A.A.2
  • 8
    • 0342991278 scopus 로고    scopus 로고
    • Stability of vortices in inhomogeneous Bose condensates subject to rotation: A three-dimensional analysis
    • García-Ripoll, J.J., Pérez-García, V.M.: Stability of vortices in inhomogeneous Bose condensates subject to rotation: A three-dimensional analysis. Phys. Rev. A 60, 4864-4874 (1999)
    • (1999) Phys. Rev. A , vol.60 , pp. 4864-4874
    • García-Ripoll, J.J.1    Pérez-García, V.M.2
  • 9
    • 0001786163 scopus 로고
    • A proof that the free energy of a spin system is extensive
    • Griffiths, R.B.: A Proof that the Free Energy of a Spin System is Extensive. J. Math. Phys. 5, 1215-1222 (1964)
    • (1964) J. Math. Phys. , vol.5 , pp. 1215-1222
    • Griffiths, R.B.1
  • 12
    • 0037193018 scopus 로고    scopus 로고
    • Proof of Bose-Einstein condensation for dilute trapped gases
    • Lieb, E.H., Seiringer, R.: Proof of Bose-Einstein Condensation for Dilute Trapped Gases. Phys. Rev. Lett. 88, 170409 (2002)
    • (2002) Phys. Rev. Lett. , vol.88 , pp. 170409
    • Lieb, E.H.1    Seiringer, R.2
  • 13
    • 26944492677 scopus 로고    scopus 로고
    • Ground-state energy of the low-density Fermi gas
    • Lieb, E.H., Seiringer, R., Solovej, J.P.: Ground-state energy of the low-density Fermi gas. Phys. Rev. A 71, 053605 (2005)
    • (2005) Phys. Rev. A , vol.71 , pp. 053605
    • Lieb, E.H.1    Seiringer, R.2    Solovej, J.P.3
  • 14
    • 33645966684 scopus 로고    scopus 로고
    • The mathematics of the Bose gas and its condensation
    • Basel-Boston: Birkhäuser
    • Lieb, E.H., Seiringer, R., Solovej, J.P., Yngvason, J.: The Mathematics of the Bose Gas and its Condensation. Oberwolfach Seminars, Vol. 34, Basel-Boston: Birkhäuser, 2005
    • (2005) Oberwolfach Seminars , vol.34
    • Lieb, E.H.1    Seiringer, R.2    Solovej, J.P.3    Yngvason, J.4
  • 15
    • 0347107495 scopus 로고    scopus 로고
    • Bosons in a trap: A rigorous derivation of the gross-pitaevskii energy functional
    • Lieb, E.H., Seiringer, R., Yngvason, J.: Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional. Phys. Rev. A 61, 043602 (2000)
    • (2000) Phys. Rev. A , vol.61 , pp. 043602
    • Lieb, E.H.1    Seiringer, R.2    Yngvason, J.3
  • 16
    • 0035539918 scopus 로고    scopus 로고
    • A rigorous derivation of the gross-pitaevskii energy functional for a two-dimensional Bose gas
    • Lieb, E.H., Seiringer, R., Yngvason, J.: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional for a Two-Dimensional Bose Gas. Commun. Math. Phys. 224, 17-31 (2001)
    • (2001) Commun. Math. Phys. , vol.224 , pp. 17-31
    • Lieb, E.H.1    Seiringer, R.2    Yngvason, J.3
  • 17
    • 3042589965 scopus 로고    scopus 로고
    • Superfluidity in dilute trapped Bose gases
    • Lieb, E.H., Seiringer, R., Yngvason, J.: Superfluidity in dilute trapped Bose gases. Phys. Rev. B 66, 134529 (2002)
    • (2002) Phys. Rev. B , vol.66 , pp. 134529
    • Lieb, E.H.1    Seiringer, R.2    Yngvason, J.3
  • 18
    • 18244372190 scopus 로고    scopus 로고
    • Justification of c-number substitutions in bosonic hamiltonians
    • Lieb, E.H.: Seiringer, R., Yngvason, J.: Justification of c-Number Substitutions in Bosonic Hamiltonians. Phys. Rev. Lett. 94, 080401 (2005)
    • (2005) Phys. Rev. Lett. , vol.94 , pp. 080401
    • Lieb, E.H.1    Seiringer, R.2    Yngvason, J.3
  • 19
    • 0000945157 scopus 로고    scopus 로고
    • Ground state energy of the low density Bose gas
    • Lieb, E.H.: Yngvason, J.: Ground State Energy of the Low Density Bose Gas. Phys. Rev. Lett. 80, 2504-2507 (1998)
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 2504-2507
    • Lieb, E.H.1    Yngvason, J.2
  • 22
    • 0036768595 scopus 로고    scopus 로고
    • Gross-pitaevskii theory of the rotating Bose gas
    • Seiringer, R.: Gross-Pitaevskii Theory of the Rotating Bose Gas. Commun. Math. Phys. 229, 491-509 (2002)
    • (2002) Commun. Math. Phys. , vol.229 , pp. 491-509
    • Seiringer, R.1
  • 23
    • 0142229876 scopus 로고    scopus 로고
    • Ground state asymptotics of a dilute, rotating gas
    • Seiringer, R.: Ground state asymptotics of a dilute, rotating gas. J. Phys. A: Math. Gen. 36, 9755-9778 (2003)
    • (2003) J. Phys. A: Math. Gen. , vol.36 , pp. 9755-9778
    • Seiringer, R.1
  • 25
    • 0003335754 scopus 로고
    • Trace ideals and their application
    • Cambridge: Cambridge University Press
    • Simon, B.: Trace ideals and their application. London Math. Soc. Lecture Notes 35. Cambridge: Cambridge University Press, 1979
    • (1979) London Math. Soc. Lecture Notes , vol.35
    • Simon, B.1
  • 26
    • 0000824198 scopus 로고
    • Proof and refinement of an inequality of Feynman
    • Symanzik, K.: Proof and Refinement of an Inequality of Feynman. J. Math. Phys. 6, 1155-1156 (1964)
    • (1964) J. Math. Phys. , vol.6 , pp. 1155-1156
    • Symanzik, K.1
  • 27
    • 0007953764 scopus 로고
    • Three theorems about entropy and convergence of density matrices
    • Wehrl, A.: Three theorems about entropy and convergence of density matrices. Rep. Math. Phys. 10, 159-163 (1976)
    • (1976) Rep. Math. Phys. , vol.10 , pp. 159-163
    • Wehrl, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.