Symplectic integrators for the numerical solution of the Schrödinger equation

Journal of Computational and Applied Mathematics

Volumn 158, Issue 1, 2003, Pages 83-92

  Kalogiratou, Z ^a   Monovasilis, Th ^a   Simos, T E ^b  

^a UNIVERSITY OF WESTERN MACEDONIA   (Greece)

^b UNIVERSITY OF PELOPONNESE   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTATIONAL METHODS; HAMILTONIANS; HARMONIC ANALYSIS; MATHEMATICAL TRANSFORMATIONS; NUMERICAL METHODS;

CANONICAL EQUATIONS;

INTEGRATION;

MATHEMATICAL METHOD;

EID: 0042284832     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(03)00478-3     Document Type: Article

References (10)

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3. Killingbeck J. Shooting methods for the Schrödinger equation J. Phys. A: Math. Gen. 20 1987 1411-1417
4. Liu X.S. Liu X.Y. Zhou Z.Y. Ding P.Z. Pan S.F. Numerical solution of the one-dimensional time-independent Schrödinger equation by using symplectic schemes Int. J. Quant. Chem. 79 2000 343-349
5. Raptis A.D. On the numerical solution of the Schrödinger equation Comput. Phys. Commun. 24 1981 1-4
6. Raptis A.D. Two step methods for the numerical solution of the Schrödinger equation Computing 28 1982 373-378
7. Sanz-Serna J.M. Calvo M.P. Numerical Hamiltonian Problem 1994 Chapman - Hall London
8. T.E. Simos, Numerical methods for 1D, 2D and 3D differential equations arising in chemical problems, Chemical Modelling: Application and Theory, The Royal Society of Chemistry, in press.
9. Yoshida H. Construction of higher order symplectic integrators Phys. Lett. A 150 1990 262-268
10. Zhu W. Zhao X. Tang Y. Numerical methods with a high order of accuracy in the quantum system J. Chem. Phys. 104 1996 2275-2286