Iterative solution of Bloch-type equations: Stability conditions and chaotic behavior

Journal of Mathematical Chemistry

Volumn 43, Issue 1, 2008, Pages 314-327

  Szakács, Péter ^a   Surján, Péter R ^a  

^a EÖTVÖS LORÁND UNIVERSITY   (Hungary)

Author keywords

Bloch equation; Chaos; Density matrix; Stability

Indexed keywords

EID: 37549009113     PISSN: 02599791     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10910-006-9197-3     Document Type: Article

References (23)

1. Bloch C. (1958). Nucl. Phys. 6:329
2. Lindgren I., Morrison J. (1986) Atomic Many-Body Theory. Springer, Berlin
3. Lindgren I. (1974). Phys. B 7:2241
4. Lindgren I. (1978). Int. J. Quantum Chem. S12:33
5. Kvasnička V. (1974). Czech. J. Phys. B 24:605
6. Kvasnička V. (1977). Czech. J. Phys. B 27:599
7. Kvasnička V. (1977). Adv. Chem. Phys. 36:345
8. Löwdin P.O. (1999). Int. J. Quantum Chem. 72:370-391
9. Mazziotti D.A. (2001). J. Chem. Phys. 115:8305
10. Colmenero F., Valdemoro C. (1993). Phys. Rev. A 47:979
11. Szabados Á., Kóhalmi D., Surján P.R. (2005). Phys. Rev. Lett. 95:13002
12. Szekeres Zs., Mezey P.G., Surján P.R. (2006). Chem. Phys. Lett. 424:420-424
13. McWeeny R. (1962). Phys. Rev. 126:1028
14. Mazziotti D.A. (2003). Phys. Rev. E 68:066701
15. Niklasson A.M.N. (2003). Phys. Rev. B 68:233104
16. Kryachko E.S. (2000). Chem. Phys. Lett. 318:210-213
17. Holas A. (2001). Chem. Phys. Lett. 340:553-558
18. Palser A.H.R., Manolopoulos D.E. (1998). Phys. Rev. B 58:12704
19. Szekeres Zs., Mezey P.G. (2005). Mol. Phys. 103:1013
20. Korn G.A., Korn T.M. (1968) Mathematical Handbook for Scientists and Engineers. McGraw Hill, New York
21. Ott E. (1993) Chaos in Dynamical Systems. Cambridge University Press, Cambridge
22. Wilkinson J.H., Reinsch C. (1971) Handbook for Automatic Computation. Springer, Berlin
23. Binkley J.S., Pople J.A., Hehre W.J. (1980). J. Am. Chem. Soc. 102:939