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Communications in Mathematical Physics
Volumn 298, Issue 1, 2010, Pages 101-138
Mean-Field dynamics: Singular potentials and rate of convergence
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EID: 77954029913     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-010-1010-2     Document Type: Article
Times cited : (191)
References (13)
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    • Elgart, A.1    Schlein, B.2
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    • Derivation of the nonlinear Schrödinger equation with Coulomb potential
    • Erdo{double acute}s L., Yau H.-T. (2001) Derivation of the nonlinear Schrödinger equation with Coulomb potential. Adv. Theor. Math. Phys. 5: 1169-1205.
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    • On the mean-field limit of bosons with Coulomb two-body interaction
    • Fröhlich J., Knowles A., Schwarz S. (2009) On the mean-field limit of bosons with Coulomb two-body interaction. Commun. Math. Phys. 288: 1023-1059.
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    • Fröhlich, J.1    Knowles, A.2    Schwarz, S.3
  • 5
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    • On a class of non linear Schrödinger equations with non local interaction
    • Ginibre J., Velo G. (1980) On a class of non linear Schrödinger equations with non local interaction. Math. Z. 170: 109-136.
    • (1980) Math. Z. , vol.170 , pp. 109-136
    • Ginibre, J.1    Velo, G.2
  • 6
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    • The classical limit for quantum mechanical correlation functions
    • Hepp K. (1974) The classical limit for quantum mechanical correlation functions. Commun. Math. Phys. 35: 265-277.
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    • Hepp, K.1
  • 7
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    • Well-posedness for semi-relativistic Hartree equations of critical type
    • Lenzmann E. (2007) Well-posedness for semi-relativistic Hartree equations of critical type. Math. Phys. Anal. Geom. 10(1): 43-64.
    • (2007) Math. Phys. Anal. Geom. , vol.10 , Issue.1 , pp. 43-64
    • Lenzmann, E.1
  • 8
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    • The Chandrasekhar theory of stellar collapse as the limit of quantum mechanics
    • Lieb E., Yau H.-T. (1987) The Chandrasekhar theory of stellar collapse as the limit of quantum mechanics. Commun. Math. Phys. 112(1): 147-174.
    • (1987) Commun. Math. Phys. , vol.112 , Issue.1 , pp. 147-174
    • Lieb, E.1    Yau, H.-T.2
  • 9
    • 0037193018 scopus 로고    scopus 로고
    • Proof of Bose-Einstein condensation for dilute trapped gases
    • Lieb E. H., Seiringer R. (2002) Proof of Bose-Einstein condensation for dilute trapped gases. Phys. Rev. Lett. 88(17): 170409.
    • (2002) Phys. Rev. Lett. , vol.88 , Issue.17 , pp. 170409
    • Lieb, E.H.1    Seiringer, R.2
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    • Pickl, P.: A simple derivation of mean field limits for quantum systems. To appear.
  • 13
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    • Kinetic equations from Hamiltonian dynamics: Markovian limits
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    • Spohn, H.1

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