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Volumn 38, Issue 3 SPEC. ISS., 2007, Pages 526-532

Symplectic methods for the numerical integration of the Schrödinger equation

Author keywords

Eigenvalue problem; Schr dinger equation; Symplectic integration

Indexed keywords

DIFFERENTIAL EQUATIONS; MATHEMATICAL TRANSFORMATIONS; NUMERICAL METHODS; PROBLEM SOLVING;

EID: 33845451254     PISSN: 09270256     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.commatsci.2005.09.011     Document Type: Article
Times cited : (59)

References (9)
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    • Kalogiratou Z., Monovasilis Th., and Simos T.E. Computation of the eigenvalues of the one-dimension Schrödinger equation by symplectic methods. International Journal of Quantum Chemistry 106 (2006) 795-802
    • (2006) International Journal of Quantum Chemistry , vol.106 , pp. 795-802
    • Kalogiratou, Z.1    Monovasilis, Th.2    Simos, T.E.3
  • 3
    • 0034692187 scopus 로고    scopus 로고
    • Numerical solution of the one-dimensional time-independent Schrodinger equation by using symplectic schemes
    • Liu X.S., Liu X.Y., Zhou Z.Y., Ding P.Z., and Pan S.F. Numerical solution of the one-dimensional time-independent Schrodinger equation by using symplectic schemes. International Journal of Quantum Chemistry 79 (2000) 343-349
    • (2000) International Journal of Quantum Chemistry , vol.79 , pp. 343-349
    • Liu, X.S.1    Liu, X.Y.2    Zhou, Z.Y.3    Ding, P.Z.4    Pan, S.F.5
  • 4
    • 0346653215 scopus 로고
    • The accuracy of symplectic integrators
    • McLachlan R., and Atela P. The accuracy of symplectic integrators. Nonlinearity 5 (1992) 541-562
    • (1992) Nonlinearity , vol.5 , pp. 541-562
    • McLachlan, R.1    Atela, P.2
  • 5
    • 0000194427 scopus 로고
    • On the numerical integration of ordinary differential equations by symmetric composition methods
    • McLachlan R. On the numerical integration of ordinary differential equations by symmetric composition methods. SIAM Journal on Scientific Computing 16 (1995) 151-168
    • (1995) SIAM Journal on Scientific Computing , vol.16 , pp. 151-168
    • McLachlan, R.1
  • 7
    • 0040419824 scopus 로고
    • The numerical integration of Hamiltonian systems
    • Cash J.R., and Gladwell I. (Eds), Claredon Press Oxford
    • Sanz-Serna J.M. The numerical integration of Hamiltonian systems. In: Cash J.R., and Gladwell I. (Eds). Computational Ordinary Differential Equations (1992), Claredon Press Oxford 437-449
    • (1992) Computational Ordinary Differential Equations , pp. 437-449
    • Sanz-Serna, J.M.1
  • 8
    • 0141730856 scopus 로고    scopus 로고
    • Numerical methods for 1D, 2D and 3D differential equations arising in chemical problems
    • The Royal Society of Chemistry pp. 170-270
    • Simos T.E. Numerical methods for 1D, 2D and 3D differential equations arising in chemical problems. Chemical Modelling: Application and Theory 2 (2002), The Royal Society of Chemistry pp. 170-270
    • (2002) Chemical Modelling: Application and Theory , vol.2
    • Simos, T.E.1
  • 9
    • 0001005075 scopus 로고
    • Construction of higher order symplectic integrators
    • Yoshida H. Construction of higher order symplectic integrators. Physics Letters A 150 (1990) 262-268
    • (1990) Physics Letters A , vol.150 , pp. 262-268
    • Yoshida, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.