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Comptes Rendus Mathematique
Volumn 334, Issue 6, 2002, Pages 515-520
Derivation of the Schrödinger-Poisson equation from the quantum N-body problem;Justification de l'équation de Schrödinger-Poisson à partir du problème quantique à N corps
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EID: 0013499711     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-073X(02)02253-7     Document Type: Article
Times cited : (107)
References (10)
  • 1
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    • C. Bardos, F. Golse, N.J. Mauser, Weak coupling limit of the N-particle Schrödinger equation, Methods Appl. Anal. 7 (2000) 275-293.
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    • Bardos, C.1    Golse, F.2    Mauser, N.J.3
  • 2
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    • On the derivation of nonlinear Schrödinger and Vlasov equations
    • Proceedings of the I.M.A., Springer-Verlag (to appear)
    • C. Bardos, F. Golse, A. Gottlieb, N.J. Mauser, On the derivation of nonlinear Schrödinger and Vlasov equations, Proceedings of the I.M.A., Springer-Verlag (to appear).
    • Bardos, C.1    Golse, F.2    Gottlieb, A.3    Mauser, N.J.4
  • 3
    • 0038245833 scopus 로고    scopus 로고
    • Derivation of the nonlinear Schrödinger equation with Coulomb potential
    • Preprint
    • L. Erdös, H.-T. Yau, Derivation of the nonlinear Schrödinger equation with Coulomb potential, Preprint.
    • Erdös, L.1    Yau, H.-T.2
  • 4
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    • The classical limit for quantum mechanical correlation functions
    • K. Hepp, The classical limit for quantum mechanical correlation functions, Comm. Math. Phys. 35 (1974) 265-277.
    • (1974) Comm. Math. Phys. , vol.35 , pp. 265-277
    • Hepp, K.1
  • 5
    • 34250400047 scopus 로고
    • The classical field limit of scattering theory for non-relativistic many-boson systems. I and II
    • and 68 (1979) 45-68
    • J. Ginibre, G. Velo, The classical field limit of scattering theory for non-relativistic many-boson systems. I and II, Comm. Math. Phys. 66 (1979) 37-76 and 68 (1979) 45-68.
    • (1979) Comm. Math. Phys. , vol.66 , pp. 37-76
    • Ginibre, J.1    Velo, G.2
  • 6
    • 0001522967 scopus 로고
    • On a class of nonlinear Schrödinger equations with nonlocal interactions
    • J. Ginibre, G. Velo, On a class of nonlinear Schrödinger equations with nonlocal interactions, Math. Z. 170 (1980) 109-145.
    • (1980) Math. Z. , vol.170 , pp. 109-145
    • Ginibre, J.1    Velo, G.2
  • 7
    • 84966238625 scopus 로고
    • Fundamental properties of Hamiltonian operators of Schrödinger type
    • T. Kato, Fundamental properties of Hamiltonian operators of Schrödinger type, Trans. Amer. Math. Soc. 70 (1951) 195-211.
    • (1951) Trans. Amer. Math. Soc. , vol.70 , pp. 195-211
    • Kato, T.1
  • 8
    • 51249193194 scopus 로고
    • Sur le mouvement d'un liquide visqueux emplissant l'espace
    • J. Leray, Sur le mouvement d'un liquide visqueux emplissant l'espace, Acta Math. 63 (1934) 183-248.
    • (1934) Acta Math. , vol.63 , pp. 183-248
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  • 9
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    • A note on a theorem of Nirenberg
    • T. Nishida, A note on a theorem of Nirenberg, J. Differential Geom. 12 (1977) 629-633.
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  • 10
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    • Kinetic equations from hamiltonian dynamics
    • H. Spohn, Kinetic equations from hamiltonian dynamics, Rev. Mod. Phys. 52 (3) (1980) 569-615.
    • (1980) Rev. Mod. Phys. , vol.52 , Issue.3 , pp. 569-615
    • Spohn, H.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.