de Broglie-Bohm formulation of quantum mechanics, quantum chaos and breaking of time-reversal invariance

Pramana - Journal of Physics

Volumn 51, Issue 5, 1998, Pages 585-595

  Faisal, F H M ^a   Schwengelbeck, U ^a  

^a BIELEFELD UNIVERSITY   (Germany)

Author keywords

de Broglie Bohm quantum mechanics; Lyapunov numbers; Quantum chaos; Time reversal invariance

Indexed keywords

CHAOS THEORY; FUNCTIONS; LYAPUNOV METHODS; PHASE SPACE METHODS;

DE BROGLIE-BOHM QUANTUM MECHANICS; LYAPUNOV NUMBERS; QUANTUM CHAOS; SCHRODIGER WAVEFUNCTIONS; TIME-REVERSAL INVARIANCE;

QUANTUM THEORY;

EID: 0032209018     PISSN: 03044289     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02827450     Document Type: Article

References (28)

1. I C Percival, J. Phys. B6, L229 (1973)
2. M V Berry, and M Tavor, Proc. R. Soc. London A356, 375 (1976)
3. G Casati, B V Chirikov, F M Izrailev, and J Ford: in Stochastical behaviour in classical and quantum hamiltonian systems, Lecture Notes in Physics, (Springer, Berlin, 1979) Vol. 93
4. A M Ozorio de Almeida, Hamiltonian systems: chaos and quantisation, (Cambridge University Press, Cambridge, 1988)
5. F Haake, Quantum signatures of chaos, (Springer-Verlag, Berlin, 1991)
6. Quantum chaos: between order and disorder, edited by G Casati and B V Chirikov, (Cambridge University Press, Cambridge, 1995)
7. E J Heller, Phys. Rev. Lett. 53,1515 (1984)
8. M Toda and K Ikeda, Phys. Lett. A124,165 (1987)
9. W Slomczyński and K Zyczkowski, J. Math. Phys. 35, 5674 (1994)
10. R Vileda Mendes, Preprint of the conference talk Advanced topics in applied mathematics and theoretical physics - complex systems: Classical and quantum aspects CIRM (1994)
11. B Mirbach and H J Korsch, Phys. Rev. Lett. 75, 362 (1995)
12. K Nakamura, Quantum chaos: a new paradigm of nonlinear dynamics, (Cambridge University Press, Cambridge, 1993)
13. D Bohm, Phys. Rev. 85, 166(1952)
14. L de Broglie, Non-linear wave mechanics: A causal interpretation, (Elsevier, Amsterdam, 1960)
15. J S Bell, Speakable and unspeakable in quantum mechanics, (Cambridge University Press, Cambridge, 1987)
16. P R Holland, The quantum theory of motion, (Cambridge University Press, Cambridge, 1993)
17. F H M Faisal and U Schwengelbeck, Forschungszentrum Bielefeld-Bochum-Stochastik, BiBoS Nr. 680 /12 / 94, Universität Bielefeld (1994)
18. U Schwengelbeck and F H M Faisal, Phys. Lett. A199, 281 (1995)
19. U Schwengelbeck and F H M Faisal, Phys. Rev. A50, 632 (1994)
20. U Schwengelbeck and F H M Faisal, Forschungszentrum Bielefeld-Bochum-Stochastik, BiBoS Nr. 723 / 4 / 96, Universität Bielefeld (1996)
21. S Weigert, Z. Phys. B80, 3 (1990)
22. S Weigert, Phys. Rev. A48, 1780 (1993)
23. V I Arnold and A Avez, Ergodic problems of classical mechanics, (Benjamin, Reading, MA, 1968)
24. F H M Faisal and U Schwengelbeck, Phys. Lett. A207, 31 (1995)
25. J H Hannay and M V Berry, Physica D1, 267 (1980)
26. J Ford, G Mantica, and G H Ristow, Physica D50, 493 (1991)
27. G Strang, Linear algebra and its applications, (Academic Press, New York, 1976)
28. V M Alekseev and M V Yakobson, Phys. Rep. 75, 287 (1981)