Remarks on Quantum Characteristic Exponents

Chaos, Solitons and Fractals

Volumn 9, Issue 1-2, 1998, Pages 77-82

  Majewski, W A ^a  

^a UNIVERSITY OF GDA SK   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; MATHEMATICAL OPERATORS; MATHEMATICAL TECHNIQUES; PHYSICS;

QUANTUM THEORY;

EID: 0031673928     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(97)00050-7     Document Type: Article

References (18)

1. Majewski, W. A. and Kuna, M., In Proceedings of the Workshop on Phase Transitions: Mathematics, Physics, Biology, ed. R. Kotecky, World Scientific, Singapore, 1993, pp. 145-149.
2. Majewski, W. A. and Kuna, M., J. Math. Phys., 1993, 34, 5007.
3. Emch, G. G., Narnhofer, H., Thirring, W. and Sewell, G. L., J. Math. Phys., 1994, 35, 5582.
4. Majewski, W. A., In Chaos - The Interplay Between Stochastic and Deterministic Behavior, eds P. Garbaczewski, M. Wolf and A. Weron, Lecture Notes in Physics, Vol. 457, Springer, Berlin, 1995, pp. 507-516.
5. Arnold, L. and Crauel, H., In Lyapunov exponents, Lecture Notes in Mathematics 1486, Springer, Heidelberg, 1991, pp. 1-22.
6. Pesin, Ya. B., Characteristic Lyapunov exponents and smooth ergodic theory. In Dynamical Systems, Advanced Series in Nonlinear Dynamics, Vol. 1. World Scientific, Singapore, 1991.
7. Crehan, P., J. Phys. A, 1995, 28, 6389.
8. Castiglione, P., Jona-Lasinio, G. and Presilla, C., J. Phys. A, 1996, 29, 6169.
9. Milburn, G. J., Phys. Rev. A, 1990, 41, 6567.
10. Milburn, G. J. and Holmes, C. A., Phys Rev. A, 1991, 44, 4704.
11. Kostin, M. D., J. Chem. Phys., 1972, 57, 3589.
12. Schuch, D., Chung, K.-M. and Hartmann, H., J. Math. Phys., 1983, 24, 1652.
13. Doebner, H.-D. and Goldin, G. A., Phys. Lett. A, 1992, 162, 397.
14. Bialynicki-Birula, I. and Mycielski, J., Ann. Phys., 1976, 100, 62.
15. Kibble, T. W. B., Commun. Math. Phys., 1978, 64, 73.
16. Blaizot, J.-P. and Ripka, G., Quantum Theory of Finite Systems, The MIT Press, Cambridge, MA, 1986.
17. Kuna, M. and Majewski, W. A., Int. J. Theoret. Phys., 1995, 34, 2205.
18. Majewski, W. A. and Marciniak, M., On nonlinear Koopman's construction, Rep. Math. Phys., 1998, 40, in press