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Volumn 40, Issue 2, 2005, Pages 93-108

Towards a rigorous derivation of the cubic NLSE in dimension one

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; MATHEMATICAL OPERATORS; ONE DIMENSIONAL; PROBABILITY; QUANTUM THEORY; TENSORS;

EID: 23744501331     PISSN: 09217134     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (42)

References (13)
  • 3
    • 0013502647 scopus 로고    scopus 로고
    • Weak coupling limit of the N particles Schrödinger equation
    • C. Bardos, F. Golse and N. Mauser, Weak coupling limit of the N particles Schrödinger equation, Methods Appl. Anal. 7(2) (2000), 275-293.
    • (2000) Methods Appl. Anal. , vol.7 , Issue.2 , pp. 275-293
    • Bardos, C.1    Golse, F.2    Mauser, N.3
  • 6
    • 79551496714 scopus 로고    scopus 로고
    • Derivation of the nonlinear Schrödinger equation from a many body Coulomb system
    • L. Erdös and H.-T. Yau, Derivation of the nonlinear Schrödinger equation from a many body Coulomb system, Adv. Theor. Math. Phys. 5(6) (2001), 1169-1205.
    • (2001) Adv. Theor. Math. Phys. , vol.5 , Issue.6 , pp. 1169-1205
    • Erdös, L.1    Yau, H.-T.2
  • 7
    • 26344439240 scopus 로고
    • Exact analysis of an interacting Bose gas. I. the general solution and the ground state
    • E.H. Lieb and W. Liniger, Exact analysis of an interacting Bose gas. I. The general solution and the ground state, Phys. Rev. 130 (1963), 1605-1916.
    • (1963) Phys. Rev. , vol.130 , pp. 1605-1916
    • Lieb, E.H.1    Liniger, W.2
  • 8
    • 36149006296 scopus 로고
    • Exact analysis of an interacting Bose gas. II. The excitation spectrum
    • E.H. Lieb, Exact analysis of an interacting Bose gas. II. The excitation spectrum, Phys. Rev. 130(1) (1963), 1616-1624.
    • (1963) Phys. Rev. , vol.130 , Issue.1 , pp. 1616-1624
    • Lieb, E.H.1
  • 12
    • 0041403101 scopus 로고
    • Kinetic equations from Hamiltonian dynamics
    • H. Spohn, Kinetic equations from Hamiltonian dynamics, Rev. Mod. Phys. 52(3) (1980), 600-640.
    • (1980) Rev. Mod. Phys. , vol.52 , Issue.3 , pp. 600-640
    • Spohn, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.