Symplectic methods for the numerical solution of the radial Shrödinger equation

Journal of Mathematical Chemistry

Volumn 34, Issue 1-2, 2003, Pages 83-94

  Tselios, Kostas ^a   Simos, T E ^b,c,d  

^a UNIVERSITY OF WESTERN MACEDONIA   (Greece)

^b UNIVERSITY OF PELOPONNESE   (Greece)

^c Academy of Sciences and Arts ^*  (Greece)

^d Academy of Sciences and Arts   (Greece)

Author keywords

Radial Shr dinger equation; Symplectic schemes

Indexed keywords

ACCURACY; ANALYTIC METHOD; ARTICLE; INTERMETHOD COMPARISON; MATHEMATICAL ANALYSIS; TECHNIQUE;

EID: 1642456494     PISSN: 02599791     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1025140822233     Document Type: Article

References (7)

1. X.-S. Liu, X.-Y. Liu, Z.-Y. Zhou, P.-Z. Ding and S.-F. Pan, Numerical solution of one-dimensional time-independent Schrödinger equation by using symplectic schemes, Int. J. Quantum Chem. 79 (2000) 343-349.
2. R.D. Ruth, A canonical integration technique, IEEE Trans. Nucl. Sci. NS-30 (1983) 2669-2671.
3. P.J. Candy and W. Rozmus, A symplectic integration algorithm for separable Hamiltonian functions, J. Comput. Phys. 92 (1991) 230-256.
4. E. Forest and R.D. Ruth, Fourth order symplectic integration, Phys. D 43 (1990) 105-117.
5. H. Yoshida, Construction of higher order symplectic integrators, Phys. Lett. 150 (1990) 262-268.
6. J.M. Sanz-Serna and M.P. Calvo, Numerical Hamiltonian Problem (Chapman and Hall, London, 1994).
7. J.R. Dormand and P.J. Prince, Runge-Kutta-Nyström triples, Comput. Math. Appl. 13(12) (1987) 937-949.