One-dimensional Schrödinger equation and its "exact" representation on a discrete lattice

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 223, Issue 6, 1996, Pages 411-416

  Znojil, Miloslav ^a  

^a NUCLEAR PHYSICS INSTITUTE   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENCE EQUATIONS;

BOUND STATE; DINGER EQUATION; DISCRETE LATTICES; PERTURBATION THEORY; SECOND ORDERS;

PERTURBATION TECHNIQUES;

EID: 0039137157     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(96)00774-8     Document Type: Article

References (19)

1. C. Cerjan, ed., Numerical grid methods and their application to Schrödinger equation (Kluwer, Dordrecht, 1993).
2. J.P. Killingbeck, N.A. Gordon and M.R.M. Witwit, Phys. Lett. A 206 (1995) 279.
3. V. Fack and G. vanden Berghe, J. Phys. A 18 (1985) 3355.
4. T. Kato, Perturbation theory for linear operators (Springer, Berlin, 1966).
5. A. Messiah, Quantum mechanics (North-Holland, Amsterdam, 1961).
6. F. Acton, Numerical methods that work (Harper and Row, New York, 1970); V. Fack, Med. Konink. Acad. Wetensch. België 54 (1992) 153; J.H. Wilkinson, The algebraic eigenvalue problem (Clarendon, Oxford, 1971).
7. F. Acton, Numerical methods that work (Harper and Row, New York, 1970); V. Fack, Med. Konink. Acad. Wetensch. België 54 (1992) 153; J.H. Wilkinson, The algebraic eigenvalue problem (Clarendon, Oxford, 1971).
8. F. Acton, Numerical methods that work (Harper and Row, New York, 1970); V. Fack, Med. Konink. Acad. Wetensch. België 54 (1992) 153; J.H. Wilkinson, The algebraic eigenvalue problem (Clarendon, Oxford, 1971).
9. M. Znojil, Phys. Lett. A 222 (1996) 291.
10. I. Skála and J. Čížek, J. Phys. A 29 (1996) L129.
11. M. Znojil, Phys. Lett. A 120 (1987) 317; Phys. Rev. A 35 (1987) 2448.
12. M. Znojil, Phys. Lett. A 120 (1987) 317; Phys. Rev. A 35 (1987) 2448.
13. M. Znojil, Phys. Lett. A 150 (1990) 67; 155 (1991) 87; Czechosl. J. Phys. 41 (1991) 397, 497.
14. M. Znojil, Phys. Lett. A 150 (1990) 67; 155 (1991) 87; Czechosl. J. Phys. 41 (1991) 397, 497.
15. M. Znojil, Phys. Lett. A 150 (1990) 67; 155 (1991) 87; Czechosl. J. Phys. 41 (1991) 397, 497.
16. R. Sternheimer, Phys. Rev. 84 (1951) 244; P.H. Price, Proc. Phys. Soc. London 67 (1954) 383; A. Dalgarno and J.T. Lewis, Proc. R. Soc. 233 (1955) 70; C.K. Au, K.L. Chan, C.K. Chow, C.S. Chu and K. Young, J. Phys. A 24 (1991) 3837.
17. R. Sternheimer, Phys. Rev. 84 (1951) 244; P.H. Price, Proc. Phys. Soc. London 67 (1954) 383; A. Dalgarno and J.T. Lewis, Proc. R. Soc. 233 (1955) 70; C.K. Au, K.L. Chan, C.K. Chow, C.S. Chu and K. Young, J. Phys. A 24 (1991) 3837.
18. R. Sternheimer, Phys. Rev. 84 (1951) 244; P.H. Price, Proc. Phys. Soc. London 67 (1954) 383; A. Dalgarno and J.T. Lewis, Proc. R. Soc. 233 (1955) 70; C.K. Au, K.L. Chan, C.K. Chow, C.S. Chu and K. Young, J. Phys. A 24 (1991) 3837.
19. R. Sternheimer, Phys. Rev. 84 (1951) 244; P.H. Price, Proc. Phys. Soc. London 67 (1954) 383; A. Dalgarno and J.T. Lewis, Proc. R. Soc. 233 (1955) 70; C.K. Au, K.L. Chan, C.K. Chow, C.S. Chu and K. Young, J. Phys. A 24 (1991) 3837.