Probability representation of optical signals and new entropy of quantum states

International Journal of Modern Physics B

Volumn 20, Issue 11-13, 2006, Pages 1399-1407

  Man'ko, Margarita A ^a   Man'ko, Olga V ^a   Man'ko, Vladimir I ^a  

^a LEBEDEV PHYSICAL INSTITUTE   (Russian Federation)

Author keywords

Entropy; Information; Nonlinear Schr dinger equation; Probability representation; Tomogram

Indexed keywords

EID: 33744740431     PISSN: 02179792     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217979206034005     Document Type: Conference Paper

References (17)

1. S. Mancini, V. I. Man'ko, and P. Tombesi, Phys. Lett. A213, 1 (1996);
2. Found. Phys. 27, 801 (1997).
3. M. A. Man'ko, J. Russ. Laser Res. 20, 226 (1999);
4. M. A. Man'ko, J. Russ. Laser Res. 21, 411 (2000);
5. M. A. Man'ko, J. Russ. Laser Res. 23, 433 (2002).
6. J. Radon, "Über die Bestimmung von Funktionen durch ihre Integralwerte längs gewisser Mannigfaltigkeiten", Berichte Sachsische Akademie der Wissenschaften, Leipzig, Mathematische-Physikalische Klasse, 69 (1917), S. 262.
7. V. V. Dodonov and V. I. Man'ko, Phys. Lett. A239, 335 (1997).
8. V. I. Man'ko and O. V. Man'ko, JETP 85, 430 (1997).
9. C. E. Shannon, Bell Systems Tech. J. 27, 379 (1948).
10. M. A. Man'ko, J. Russ. Laser Res. 22, 168 (2001).
11. S. De Nicola, R. Fedele, M. A. Man'ko, and V. I. Man'ko, Eur. Phys. J. B36, 385 (2003).
12. V. I. Man'ko and R. V. Mendes, "Noncommutative time-frequency tomography of analytic signal," SISSA-LANL Eprint Physics/9712022 Data Analysis, Statistics, and Probability; Phys. Lett. A263, 53 (1999).
13. E. Wigner, Phys. Rev. 40, 749 (1932).
14. J. Ville, Cables et Transmission 2, 61 (1948).
15. V. I. Man'ko and S. S. Safonov, Yad. Fiz. 4, 658 (1998).
16. V. I. Man'ko, G. Marmo, E. C. G. Sudarshan, and F. Zaccaria, J. Russ. Laser Res., 24, 507 (2003).
17. Z. P. Karkuszewski, K. Sacha, and J. Zakrzewski, Phys. Rev. A63, 061601(R) (2001).