Symplectic entropy

Journal of Physics: Conference Series

Volumn 70, Issue 1, 2007, Pages

  De Nicola, Sergio ^a   Fedele, Renato ^b   Man'ko, Margarita A ^c   Man'ko, Vladimir I ^c  

^a CNR   (Italy)

^b UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^c LEBEDEV PHYSICAL INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34250629759     PISSN: 17426588     EISSN: 17426596     Source Type: Conference Proceeding    
DOI: 10.1088/1742-6596/70/1/012007     Document Type: Article

References (46)

1. Stayer D F, Balkin S M, Becker K M, et al 2002 Nine formulations of quantum mechanics Am. J. Phys. 70 228
2. Kim Y S and Noz M 1991 Phase Space Picture of Quantum Mechanics (Singapore: World Scientific)
3. Schleich W 2001 Quantum Optics in Phase Space (Weinheim: Wiley-VCH)
4. Mancini S, Man'ko V I and Tombesi P 1996 Phys. Lett. A 213 1
5. Mancini S, Man'ko V I and Tombesi P 1997 Found. Phys. 27 801
6. Caponigro M, Mancini S and Man'ko V I 2006 Fortschr. Phys. 54 602
7. Man'ko M A, V I Man'ko and R V Mendes 2006 J. Russ. Laser Res. 27 506 [A probability operator symbol framework for quantum information Los Alamos quant-ph/0602189 v1]
8. Wigner E P 1932 Phys. Rev. 40 749
9. Yourgrau W and A van der Merwe (eds) 1971 Perspectives in Quantum Theory (New York: Dover) p 25
10. Mancini S, Man'ko V I and Tombesi P 1995 Quantum Semiclass. Opt. 7 615
11. D'Ariano G M, Mancini S, Man'ko V I and Tombesi P 1996 Quantum Semiclass. Opt. 8 1017
12. Radon J 1917 ber die bestimmung von funktionen durch ihre integralwerte längs gewisser mannigfaltigkeiten Berichte Sachsische Akademie der Wissenschaften vol 69 (Leipzig: Mathematishe-Physicalische Klasse) p S.262-267
13. Ville J 1948 Théorie et applications de la notion de signal analytique Cables et Transmission 2 61
14. Cohen L 1989 Proc. IEEE 77 941
15. Cohen L 1996 IEEE Trans. Signal Process. 44 1080
16. Man'ko M A 2000 J. Russ. Laser Res. 21 411
17. De Nicola S, Fedele R, Man'ko M A and Man'ko V I 2003 J. Opt. B: Quantum Semiclass. Opt. 5 95
18. De Nicola S, Fedele R, Man'ko M A and Man'ko V I 2003 Wigner picture and tomographic representation of envelope solitons" in: Proc. Int. Workshop 'Nonlinear Physics: Theory and Experiment. II' (Gallipoli, Lecce, Italy, June-July 2002) ed M Ablowitz, M Boiti, F Pempinelli and B Prinari (Singapore: World Scientific) p 372
19. De Nicola S, Fedele R, Man'ko M A and Man'ko V I 2003 Eur. Phys. J. B 36 385
20. De Nicola S, Fedele R, Man'ko M A and Man'ko V I 2004 J. Russ. Laser Res. 25 1
21. De Nicola S, Fedele R, Man'ko M A and Man'ko V I 2004 Quantum tomography, wave packets and solitons" in Symmetries in Science XI ed B J Gruber, G Marmo and N Yoshinaga (London: Kluwer Academic Publishers) p 175
22. De Nicola S, Fedele R, Man'ko M A and Man'ko V I 2005 Symplectic group and solitons in BEC as probability distributions corresponding to nonlinear signals" in Group Theoretical Methods in Physics, Proc. of the XXV Int. Colloquium on Group Theoretical Methods in Physics (Cocoyoc, Mexico, 2-6 August 2004) (Conference Series Number 185) ed G S Pogosyan, L E Vicent, and K-B Wolf (Bristol: Institute of Physics Publishers) p 385
23. Man'ko M A 1999 J. Russ. Laser Res. 20 226
24. Man'ko M A 2001 J. Russ. Laser Res. 22 505
25. Shannon C E 1948 Bell. Tech. J. 27 379
26. Man'ko M A, Man'ko V I and Mendes R V 2001 J. Phys. A: Math. Gen. 34 8321
27. Poularikas A D (ed) 1996 The Transforms and Applications Handbook (Boca Raton, Florida: CRC Press & IEEE Press)
28. De Nicola S, Fedele F, Man'ko M A and Man'ko V I 2007 Theor. Math. Phys. in press ["New inequalities for tomograms in the probability representation of quantum states" Los Alamos quant-ph/0611114 v1]
29. Dodonov V V and Man'ko V I 1987 Invariants and the Evolution of Nonstationary Quantum Systems, Proceedings of the P. N. Lebedev Physical Institute vol 183 (Moscow: Nauka) [translated by Nova Science, NY, 1989]
30. Man'ko V I and Mendes R V 1999 Phys. Lett. A 263 53
31. Man'ko V I, Rosa L and Vitale P 1998 Phys. Rev. A 57 3291
32. Man'ko M A, De Nicola S, Fedele F and Man'ko V I 2004 Acta Phys. Hung. B 20 261
33. De Nicola S, Fedele F, Man'ko M A and Man'ko V I 2005 Teor. Mat. Fiz. 144 384
34. Theor. Math. Phys. 144 1206
35. Bertrand J and Bertrand P 1987 Found. Phys. 17 397
36. Vogel K and Risken H 1989 Phys. Rev. A 40 2847
37. Man'ko O V and Man'ko V I 1997 J. Russ. Laser Res. 18 407
38. Man'ko M A 2001 J. Russ. Laser Res. 22 168
39. Gross E P 1961 Nuovo Cim. 20 454
40. Pitaevskii L P 1961 Sov. Phys. JETP 13 451
41. Bialynicki-Birula I 2006 Phys. Rev. A 74 052101 ["Formulation of the uncertainty relations in terms of the Rényi entropies" Los Alamos quant/ph/0608116 v1]
42. Rènyi A 1970 Probability Theory (North-Holland: Amsterdam)
43. Man'ko M A, Man'ko V I, De Nicola S and Fedele F 2006 Acta Phys. Hung. B 26 71
44. De Nicola S, Fedele R, Man'ko M A and Man'ko V I 2006 Eur. Phys. J. B 52 191 ["New uncertainty relation for tomographic entropy: Application to squeezed states and solitons" Los Alamos quant-ph/0607200 v1]
45. Man'ko M A 2006 J. Russ. Laser Res. 27 405
46. Smithey D T, Beck M, Raymer M G and Faridani A 1993 Phys. Rev. Lett. 70 1244