Semiquantum chaos and the uncertainty principle

Physica A: Statistical Mechanics and its Applications

Volumn 276, Issue 1, 2000, Pages 95-108

  Kowalski, A M ^a   Martin, M T ^b   Nunez J ^b   Plastino, A ^b   Proto, A N ^a  

^a Fac Farmacia Y Bioquim Univ B   (Argentina)

^b UNIVERSIDAD NACIONAL DE LA PLATA   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; MATHEMATICAL MODELS; PROBABILITY; QUANTUM THEORY;

QUANTUM BORDER; SEMIQUANTUM CHAOS;

STATISTICAL MECHANICS;

EID: 0033907902     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(99)00280-0     Document Type: Article

References (47)

1. Cooper F., Dawson J.F., Meredith D., Shepard H. Phys. Rev. Lett. 72:1994;1337.
2. Hill D.L., Wheeler J.A. Phys. Rev. 89:1953;1102.
3. Mead C.A., Truhlar D.G. J. Chem. Phys. 70:1979;2248.
4. Mead C.A. Chem. Phys. 49:1980;2333.
5. Berry M.V. Proc. Roy. Soc. Lond. A. 392:1984;45.
6. Aharonov Y., Anandan J. Phys. Rev. Lett. 58:1987;1593.
7. Bertsch G.F. Phys. Rev. Lett. 95B:1980;157.
8. Bulgac A. Phys. Rev. C. 40:1989;1073.
9. P. Meystre, M. Sargent III, Elements of Quantum Optics, Springer, Berlin, 1990.
10. P.W. Milonni, M.L. Shish, J.R. Ackerhalt, Chaos in Laser-Matter Interactions, World Scientific, Singapore, 1987.
11. Barranco M., Bertsch G.F., Broglia R.A., Vigezzi E. Nucl. Phys. A. 512:1990;253.
12. P. Ring, P. Schuck, The Nuclear Many-Body Problem, Springer, New York, 1980.
13. Rabi I.I. Phys. Rev. 51:1937;652.
14. Blümmel R., Esser B. Phys. Rev. Lett. 72:1994;3658.
15. Kowalski A.M., Plastino A., Proto A.N. Phys. Rev. E. 52:1995;165.
16. Kowalski A.M., Plastino A., Proto A.N. Physica A. 236:1997;429.
17. Stevenson P. Phys. Rev. D. 30:1984;1712.
18. P. Stevenson, Phys. Rev. D 32 (1985) 1389, and references therein.
19. Pattanayak A.K., Schieve W.C. Phys. Rev. A. 46:1992;1821.
20. Carlson L., Schieve W.C. Phys. Rev. A. 40:1989;5896.
21. Bonilla L.L., Guinea F. Phys. Lett. B. 271:1991;196.
22. Bonilla L.L., Guinea F. Phys. Rev. A. 45:1992;7718.
23. Pattanayak A.K., Schieve W.C. Phys. Rev. Lett. 72:1994;2855.
24. Cooper F., Dawson J., Habib S., Ryne R.D. Phys. Rev. E. 57:1998;1489.
25. Kowalski A.M., Martin M.T., Nuñez J., Plastino A., Proto A.N. Phys. Rev. A. 58:1998;2596.
26. W.H. Zurek, Physics Today 36 (1991) 36, and references therein.
27. Zurek W.H. Found. Phys. 1:1970;69.
28. Zurek W.H. Phys. Rev. D. 24:1981;1516.
29. Zurek W.H. Phys. Rev. D. 26:1982;1862.
30. W.H. Zurek, in: P. Meystre, M.O. Scully (Eds.), Frontiers of Nonequilibrium Statistical Physics, Plenum Press, New York, 1986.
31. A. Messiah, Quantum Mechanics, Vol. I, North-Holland, Amsterdam, 1961 (Chapter 6).
32. Alhassid Y., Levine R.D. J. Chem. Phys. 67:1977;4321.
33. Alhassid Y., Levine R.D. Phys. Rev. A. 18:1978;89.
34. E. Merzbacher, Quantum Mechanics, Wiley, New York, 1963.
35. Plastino A., Proto A.N., Sarris C. Physica A. 241:1997;649.
36. Kowalski A.M., Plastino A., Proto A.N. Phys. Lett. A. 187:1994;220.
37. V.I. Arnold, Mathematical Methods of Classical Mechanics, Springer, Heidelberg, 1978.
38. See Ref. [31], p. 215, second paragraph.
39. J.A. Wheeler, W.H. Zurek (Eds.), Quantum Theory and Measurements, Princeton University Press, Princeton, NJ, 1983.
40. Joos E., Zeh H.D. Z. Phys. B. 59:1985;223.
41. H.D. Zeh, in: L. Diósi, B. Lukács (Eds.), Stochastic Evolution of Quantum States in Open Systems and Measurement Processes, World Scientific, Singapore, 1994.
42. Nuñez J., Cincotta P.M., Wachlin F.C. Celest. Mech. 64:1996;43.
43. Fraser A., Swinney H. Phys. Rev. A. 33:1986;1134.
44. Hénon M., Heiles C. Astrophys. J. 69:1964;73.
45. H. Kantz, T. Schreiber, Nonlinear Time Analysis, Cambridge University Press, Cambridge, UK, 1997.
46. Stam C.J., van Woerkom T., Pritchard W.S. Electroenceph. Clinical Neurophys. 99:1996;214.
47. Mansier P., Clairembault J., Charlotte N., Medigue C., Vermeiren C., LePape G., Carre F., Gounaropoulou A., Swynghedauw B. Cardiovascular Res. 31:1996;371.