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Volumn 5, Issue 6, 2001, Pages 1-37

Derivation of the nonlinear Schrödinger equation from a many body Coulomb system

Author keywords

BBGKY hierarchy; Mean field Coulomb system of bosons; Nonlinear Hartree equation

Indexed keywords


EID: 79551496714     PISSN: 10950761     EISSN: 10950753     Source Type: Journal    
DOI: 10.4310/atmp.2001.v5.n6.a6     Document Type: Article
Times cited : (220)

References (9)
  • 1
    • 0013502647 scopus 로고    scopus 로고
    • Weak coupling limit of the N-particle Schrödinger equation.
    • To appear in
    • C. Bardos, F. Golse and N. Mauser: Weak coupling limit of the N-particle Schrödinger equation. To appear in Math. Anal, and Appl. (2001)
    • (2001) Math. Anal and Appl.
    • Bardos, C.1    Golse, F.2    Mauser, N.3
  • 3
    • 34250400047 scopus 로고
    • The classical field limit of scattering theory for non-relativistic many-boson systems. I and II
    • 68, 45-68 (1979)
    • J. Ginibre and G. Velo: The classical field limit of scattering theory for non-relativistic many-boson systems. I and II. Commun. Math. Phys. 66, 37-76 (1979) and 68, 45-68 (1979).
    • (1979) Commun. Math. Phys. , vol.66 , pp. 37-76
    • Ginibre, J.1    Velo, G.2
  • 4
    • 0001522967 scopus 로고
    • On a class of nonlinear Schrödinger equations with nonlocal interactions
    • J. Ginibre and G. Velo: On a class of nonlinear Schrödinger equations with nonlocal interactions. Math. Z. 170, 109-145 (1980)
    • (1980) Math. Z. , vol.170 , pp. 109-145
    • Ginibre, J.1    Velo, G.2
  • 5
    • 33846791634 scopus 로고
    • The classical limit for quantum mechanical correlation functions
    • K. Hepp: The classical limit for quantum mechanical correlation functions. Commun. Math. Phys. 35, 265-277 (1974).
    • (1974) Commun. Math. Phys. , vol.35 , pp. 265-277
    • Hepp, K.1
  • 9
    • 35949020007 scopus 로고
    • Kinetic Equations from Hamiltonian Dynamics
    • H. Spohn: Kinetic Equations from Hamiltonian Dynamics. Rev. Mod. Phys. 52 no. 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.