Information theories for time-dependent harmonic oscillator

Annals of Physics

Volumn 326, Issue 6, 2011, Pages 1381-1393

  Choi, Jeong Ryeol ^a   Kim, Min Soo ^b   Kim, Daeyeoul ^c   Maamache, Mustapha ^d   Menouar, Salah ^d   Nahm, In Hyun ^e  

^a Daegu Health College   (South Korea)

^b Korea Advanced Institute of Science and Technology (KAIST)   (South Korea)

^c National Institute for Mathematical Sciences   (South Korea)

^d FERHAT ABBAS UNIVERSITY   (Algeria)

^e SunMoon University   (South Korea)

Author keywords

Entropic uncertainty relation; Fisher information; Shannon information

Indexed keywords

EID: 79954889449     PISSN: 00034916     EISSN: 1096035X     Source Type: Journal    
DOI: 10.1016/j.aop.2011.02.006     Document Type: Article

References (44)

1. Heisenberg W. Z. Phys. 1927, 43:172.
2. Sen K.D., Katriel J. J. Chem. Phys. 2006, 125:074117.
3. Choi J.R. Opt. Commun. 2009, 282:3720.
4. Ozawa M. Ann. Phys. 2004, 311:350.
5. Majernik V., Richterek L. Eur. J. Phys. 1997, 18:79.
6. Shannon C.E. Bell Syst. Tech. 1948, 27:379.
7. Shannon C.E. Bell Syst. Tech. 1948, 27:623.
8. Fisher R.A. Proc. Cambridge Philos. Soc. 1925, 22:700.
9. Lieb E.H. Commun. Math. Phys. 1978, 62:35.
10. Braunstein S.L., Caves C.M., Milburn G.J. Ann. Phys. 1996, 247:135.
11. Frieden B.R. Science from Fisher Information 2004, Cambridge University Press, Cambridge. Second ed.
12. Romera E., Sanchez-Moreno P., Dehesa J.S. Chem. Phys. Lett. 2005, 414:468.
13. Ash R.B. Information Theory 1990, Dover Publications, New York.
14. Pennini F., Plastino A. Phys. Lett. A 2007, 365:263.
15. Pennini F., Plastino A. Phys. Lett. A 2004, 326:20.
16. Nielsen M.A., Chuang I.L. Quantum Computation and Quantum Information 2000, Cambridge University Press, Cambridge.
17. Manin Y.I. Computable and Uncomputable 1980, Sovetskoye Radio, Moscow, (in Russian).
18. Feynman R.P. Found. Phys. 1986, 16:507.
19. Deutsch D. Proc. R. Soc. A Math. Phys. Sci. 1985, 400:97.
20. Lewis H.R. Phys. Rev. Lett. 1967, 18:510.
21. Lewis H.R., Riesenfeld W.B. J. Math. Phys. 1969, 10:1458.
22. Choi J.R. Chinese J. Phys. 2003, 41:257.
23. Choi J.R. Int. J. Mod. Phys. D 2007, 16:1119.
24. Maamache M., Lahoulou C., Saadi Y. Commun. Theor. Phys. 2009, 51:803.
25. Maamache M., Choutri H. J. Phys. A: Math. Gen. 2000, 33:6203.
26. Choi J.R. Int. J. Theor. Phys. 2005, 44:327.
27. Choi J.R. Pramana-J. Phys. 2003, 61:7.
28. You can refer, for examples of this rescalement, to Eqs. (64) and (68) in Section 4.
29. Dehesa J.S., Martínez-Finkelshtein A., Sánchez-Ruiz J. J. Comput. Appl. Math. 2001, 133:23.
30. Caldirola P. Nuovo Cimento 1941, 18:393.
31. Kanai E. Prog. Theor. Phys. 1948, 3:440.
32. Anderson A., Halliwell J.J. Phys. Rev. D 1993, 48:2753.
33. Fennini F., Plastino A., Ferri G.I. Physica A 2007, 383:782.
34. Wehrl A. Rep. Math. Phys. 1979, 16:353.
35. Pennini F., Plastino A. Phys. Rev. A 2004, 69:057101.
36. Frieden B.R., Soffer B.H. Phys. Rev. E 1995, 52:2274.
37. Frieden B.R., Plastino A., Plastino A.R., Soffer B.H. Phys. Rev. E 1999, 60:48.
38. Abe S., Suzuki N. Phys. Rev. A 1990, 41:4608.
39. Takahashi Y., Umezawa H. Collect. Phenom. 1975, 2:55.
40. Paul W. Rev. Mod. Phys. 1990, 62:531.
41. Brown L.S. Phys. Rev. Lett. 1991, 66:527.
42. Wei L.F., Wang S.J., Lei X.L. J. Phys. A: Math. Gen. 2002, 35:435.
43. Abdalla M.S., Colegrave R.K. Phys. Rev. A 1985, 32:1958.
44. Tarik K., et al. Trends Neurosci. 1999, 22:102.