메뉴 건너뛰기




Volumn 13, Issue 1, 2003, Pages 59-73

Mean-field approximation of quantum systems and classical limit

Author keywords

Classical limit; Hartree equation; Mean field approximation; Vlasov equation

Indexed keywords


EID: 0037289101     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202503002386     Document Type: Article
Times cited : (56)

References (8)
  • 1
    • 0000009557 scopus 로고    scopus 로고
    • The Vlasov dynamics and its fluctuations in the 1/N limit of interacting classical particles
    • W. Braun and K. Hepp, The Vlasov dynamics and its fluctuations in the 1/N limit of interacting classical particles, Comm. Math. Phys. 56 (1997) 101-120.
    • (1997) Comm. Math. Phys. , vol.56 , pp. 101-120
    • Braun, W.1    Hepp, K.2
  • 3
    • 0010322607 scopus 로고
    • Kinetic Theory and Boltzmann Equation, ed. C. Cercignani (Springer)
    • H. Neunzert, in Kinetic Theory and Boltzmann Equation, ed. C. Cercignani, Springer Lecture Notes, No. 207 (Springer, 1984), pp. 60-110.
    • (1984) Springer Lecture Notes , vol.207 , pp. 60-110
    • Neunzert, H.1
  • 4
    • 35949020007 scopus 로고
    • Kinetic equations from Hamiltonian dynamics: Markovian limits
    • H. Spohn, Kinetic equations from Hamiltonian dynamics: Markovian limits, Rev. Mod. Phys. 53 (1980) 569-615.
    • (1980) Rev. Mod. Phys. , vol.53 , pp. 569-615
    • Spohn, H.1
  • 5
    • 0013502647 scopus 로고    scopus 로고
    • Weak coupling limit of the N-particle Schrödinger equation
    • C. Bardos, F. Golse and N. Mauser, Weak coupling limit of the N-particle Schrödinger equation, Methods Appl. Anal. 2 (2000) 275-293.
    • (2000) Methods Appl. Anal. , vol.2 , pp. 275-293
    • Bardos, C.1    Golse, F.2    Mauser, N.3
  • 6
    • 0013499711 scopus 로고    scopus 로고
    • Derivation of the Schrödinger-Poisson equation from the quantum N-body problem
    • C. Bardos, L. Erds, F. Golse, N. Mauser and H.-T. Yau, Derivation of the Schrödinger-Poisson equation from the quantum N-body problem, C. R. Acad. Sci. Paris 334 (2002) 515-520.
    • (2002) C. R. Acad. Sci. Paris , vol.334 , pp. 515-520
    • Bardos, C.1    Erds, L.2    Golse, F.3    Mauser, N.4    Yau, H.-T.5
  • 7
    • 0001935132 scopus 로고
    • Vlasov hydrodynamics of a quantum mechanical model
    • H. Narnhofer and G. Sewell, Vlasov hydrodynamics of a quantum mechanical model, Comm. Math. Phys. 79 (1981) 9-24.
    • (1981) Comm. Math. Phys. , vol.79 , pp. 9-24
    • Narnhofer, H.1    Sewell, G.2
  • 8
    • 21944449213 scopus 로고    scopus 로고
    • Semiclassical limit of the nonlinear Schrödinger equation in small time
    • E. Grenier, Semiclassical limit of the nonlinear Schrödinger equation in small time, Proc. Amer. Math. Soc. 126 (1998) 523-530.
    • (1998) Proc. Amer. Math. Soc. , vol.126 , pp. 523-530
    • Grenier, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.