Bandt-Pompe approach to the classical-quantum transition

Physica D: Nonlinear Phenomena

Volumn 233, Issue 1, 2007, Pages 21-31

  Kowalski, A M ^a   Martin M T ^a   Plastino, A ^a   Rosso, O A ^b  

^a INSTITUTO DE FÍSICA LA PLATA   (Argentina)

^b INSTITUTO DE CÁLCULO   (Argentina)

Author keywords

Entropy; Quantum chaos; Semiclassical theories; Statistical complexity

Indexed keywords

CHAOTIC SYSTEMS; ENTROPY; PROBABILITY DISTRIBUTIONS; TIME SERIES ANALYSIS;

BANDT-POMPE APPROACH; SEMICLASSICAL THEORIES; STATISTICAL COMPLEXITY;

QUANTUM THEORY;

EID: 34547599330     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2007.06.015     Document Type: Article

References (57)

1. Wentzel G. Z. Phys. 38 (1926) 518
2. Kramers H.A. Z. Phys. 39 (1926) 828
3. Brillouin L. Comptes Rendus 183 (1926) 24
4. Kolmogorov A.N. Dokl. Akad. Nauk. SSSR 119 (1958) 861
5. Sinai Y.G. Dokl. Akad. Nauk. SSSR 124 (1959) 768
6. Shannon C.E. Bell. Syst. Technol. J. 27 (1948) 379, 623
7. Rényi A. Probability Theory (1970), North-Holland, Amsterdam
8. Tsallis C. J. Stat. Phys. 52 (1988) 479
9. Shiner J.S., Davison M., and Landsberg P.T. Phys. Rev. E 59 (1999) 1459
10. López-Ruiz R., Mancini H.L., and Calbet X. Phys. Lett. A 209 (1995) 321
11. Martín M.T., Plastino A., and Rosso O.A. Phys. Lett. A 311 (2003) 126
12. Lamberti P.W., Martin M.T., Plastino A., and Rosso O.A. Physica A 334 (2004) 119
13. Martin M.T., Plastino A., and Rosso O.A. Physica A 369 (2006) 439
14. M.T. Martin, Ph.D. Thesis, Department of Mathematics, Faculty of Sciences, University of La Plata, La Plata, Argentina, 2004
15. Mischaikow K., Mrozek M., Reiss J., and Szymczak A. Phys. Rev. Lett. 82 (1999) 1114
16. Powell G.E., and Percival I.C. J. Phys. A: Math. Gen. 12 (1979) 2053
17. Rosso O.A., and Mairal M.L. Physica A 312 (2002) 469
18. Bandt C., and Pompe B. Phys. Rev. Lett. 88 (2002) 174102-1
19. A quick search in the Web detects more than 57,000 entries under Classical limit of quantum mechanics
20. Paz J.P., and Zurek W.H. Phys. Rev. Lett. 82 (1999) 5181
21. Emerson J., and Ballentine L.E. Phys. Rev. E 64 (2001) 016217
22. Kowalski A.M., Martin M.T., Plastino A., and Proto A.N. Internat J. Bifur. Chaos 13 (2003) 2315
23. Cooper F., Dawson J.F., Meredith D., and Shepard H. Phys. Rev. Lett. 72 (1994) 1337
24. Cooper F., Habib S., Kluger Y., and Mottola E. Phys. Rev. D 55 (1997) 6471
25. Cooper F., Dawson J., Habib S., and Ryne R.D. Phys. Rev. E 57 (1998) 1489
26. Bloch F. Phys. Rev. 70 (1946) 460
27. Bertsch G.F. Phys. Rev. Lett. 95B (1980) 157
28. Bulgac A. Phys. Rev. C 40 (1989) 1073
29. Milonni P.W., Ackerhalt J.R., and Galbraith H.W. Rev. Lett. 50 (1980) 966
30. Milonni P.W., Shih M.L., and Ackerhalt J.R. Chaos in Laser-Matter Interactions (1987), World Scientific Publishing Co., Singapore
31. Meystre P., and Sargent III M. Elements of Quantum Optics (1991), Springer-Verlag, New York, Berlin
32. Kociuba G., and Heckenberg N.R. Phys. Rev. E 66 (2002) 026205
33. Barranco M., Bertsch G.F., Broglia R.A., and Vigezzi E. Nucl. Phys. A 512 (1990) 253
34. Ring P., and Schuck P. The Nuclear Many-Body Problem (1980), Springer-Verlag, New York, Berlin
35. Rabi I.I. Phys. Rev. 51 (1937) 652
36. Chung D.J.H. Phys. Rev. D 67 (2003) 083514
37. Bonilla L.L., and Guinea F. Phys. Lett. B 271 (1991) 196
38. Bonilla L.L., and Guinea F. Phys. Rev. A 45 (1992) 7718
39. Blümmel R., and Esser B. Phys. Rev. Lett. 72 (1994) 3658
40. Pattanayak A.K., and Schieve W.C. Phys. Rev. A 46 (1992) 1821
41. Carlson L., and Schieve W.C. Phys. Rev. A 40 (1989) 5896
42. Pattanayak A.K., and Schieve W.C. Phys. Rev. Lett. 72 (1994) 2855
43. Kowalski A.M., Martin M.T., Plastino A., Proto A.N., and Rosso O.A. Phys. Lett. A 311 (2003) 180
44. Kowalski A.M., Martin M.T., Plastino A., and Rosso O.A. Internat. J. Modern Phys. B 19 (2005) 2273
45. Wootters W.K. Phys. Rev. D 23 (1981) 357
46. In: Ott E., Sauer T., and Yoprke J.A. (Eds). Coping with Chaos: Analysis of Chaotic Data and the Exploitation of Chaotic Systems (1994), J. Wiley & Sons, New York
47. Keller K., and Lauffer H. Internat J. Bifur. Chaos 13 (2003) 2657
48. Mañé R. Lecture Notes in Mathematics vol. 898 (1981), Springer-Verlag p. 230-242
49. Takens F. Lecture Notes in Mathematics vol. 898 (1981), Springer-Verlag p. 366-381
50. Kennel M.B., Brawn R., and Abarbanel H.D.I. Phys. Rev. A 45 (1992) 3403
51. Grassberger P., and Procaccia I. Phys. Rev. Lett. 50 (1983) 346
52. Grassberger P., and Procaccia I. Phyica D 9 (1983) 189
53. Eckmann J.P., and Ruelle D. Physica D 56 (1992) 185-187
54. Kowalski A.M., Martin M.T., Nuñez J., Plastino A., and Proto A.N. Physica A 276 (2000) 95
55. Kowalski A.M., Martin M.T., Nuñez J., Plastino A., and Proto A.N. Phys. Rev. A 58 (1998) 2596
56. Kowalski A.M., Plastino A., and Proto A.N. Phys. Lett. A 297 (2002) 162
57. Keller K., and Sinn M. Physica A 356 (2005) 121