A symmetric high order method with minimal phase-lag for the numerical solution of the Schrödinger equation

International Journal of Modern Physics C

Volumn 12, Issue 7, 2001, Pages 1035-1042

  Simos, T E ^a,c   Aguiar, Jesus Vigo ^b  

^a DEMOCRITUS UNIVERSITY OF THRACE   (Greece)

^b UNIVERSITY OF SALAMANCA   (Spain)

^c NONE   (Greece)

Author keywords

Multistep Methods; Phase Shift Problems; Phase Lag; Radial Schr dinger Equation; Resonance Problems; Scattering Problems; Symmetric Methods

Indexed keywords

EID: 0035604926     PISSN: 01291831     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129183101002292     Document Type: Article

References (20)

1. L. Gr. Ixaru and M. Micu, Topics in Theoretical Physics (Central Institute of Physics, Bucharest, 1978).
2. L. Gr. Ixaru and M. Rizea, Comput. Phys. Commun. 19, 23 (1980).
3. L. D. Landau and F. M. Lifshitz, Quantum Mechanics (Pergamon, New York, 1965).
4. G. Herzberg, Spectra of Diatomic Molecules (Van Nostrand, Toronto, 1950).
5. J. R. Cash and A. D. Raptis, Comput. Phys. Commun. 33, 299 (1984).
6. J. R. Cash, A. D. Raptis, and T. E. Simos, J. Comput. Phys. 91, 413 (1990).
7. L. D. Lambert and I. A. Watson, J. Inst. Math. Applics. 18, 189 (1976).
8. P. Henrici, Discrete Variable Methods in Ordinary Differential Equations (John Wiley and Sons, New York, 1962).
9. R. M. Thomas, BIT 24, 225 (1984).
10. T. E. Simos, "Numerical solution of ordinary differential equations with periodical solution," Doctoral Dissertation, National Technical University of Athens, 1990.
11. T. E. Simos, Int. J. Mod. Phys. C 7, 33 (1996).
12. T. E. Simos, Int. J. Mod. Phys. C 7, 825 (1996).
13. T. E. Simos, Int. J. Mod. Phys. C 9, 271 (1998).
14. T. E. Simos, Int. J. Mod. Phys. C 9, 1055 (1998).
15. T. E. Simos and P. S. Williams, Int. J. Mod. Phys. C 10, 830 (1999).
16. T. E. Simos and P. S. Williams, Comput. Chem. 23, 513 (1999).
17. T. E. Simos, Atomic Structure Computations in Chemical Modeling: Applications and Theory, ed. A. Hinchliffe (The Royal Society of Chemistry, 2000), pp. 38-142.
18. M. M. Chawla and P. S. Rao, J. Comput. Appl. Math. 11, 277 (1984).
19. E. Stiefel and D. G. Bettis, Numer. Math. 13, 154 (1969).
20. G. D. Quinlan and S. Tremaine, Astronomical J. 100, 1694 (1990).