Note on semiclassical uncertainty relations

Brazilian Journal of Physics

Volumn 39, Issue 2A, 2009, Pages 503-506

  Olivares, F ^a   Pennini, F ^a,b   Ferri, G L ^c   Plastino, A ^b  

^a UNIVERSIDAD CATÓLICA DEL NORTE   (Chile)

^b INSTITUTO DE FÍSICA LA PLATA   (Argentina)

^c UNIVERSIDAD NACIONAL DE LA PAMPA   (Argentina)

Author keywords

Fisher information; Husimi distributions; Localizability in phase space

Indexed keywords

EID: 77949326014     PISSN: 01039733     EISSN: None     Source Type: Journal    
DOI: 10.1590/S0103-97332009000400029     Document Type: Article

References (37)

1. A. Wehrl, Rep. Math. Phys. 16, 353 (1979).
2. A. Anderson and J.J. Halliwell, Phys. Rev. D 48, 2753 (1993).
3. F. Pennini, A. Plastino, G. L. Ferri, F. Olivares, Phys.Lett. A 372, 4870 (2008).
4. C. Beck and F. Schlögl, Thermodynamics of chaotic systems, Cambridge University Press, Cambridge, England, (1993).
5. B.R. Frieden, Physics from Fisher information, (Cambridge University Press, Cambridge, England, 1998)
6. B.R. Frieden, Science from Fisher information, (Cambridge University Press, Cambridge, England, 2004)
7. F. Pennini, A. Plastino, G.L Ferri, Physica A 383, 782 (2007).
8. E.P. Wigner, Phys. Rev. 40, 749 (1932).
9. H.W. Lee, Phys. Rep. 259, 147 (1995).
10. J.J. Wlodarz, Int. J. Theor. Phys. 42, 1075 (2003).
11. K. Husimi, Proc. Phys. Math. Soc. Japan 22, 264 (1940).
12. Note that the Husimi distribution function is not, strictly speakig, a probability density because the marginal distribution on each variable is not the squared modulus of a wave function
13. R.F. O' Connel and E.P. Wigner, Phys. Lett. A 85, 121 (1981).
14. S.S. Mizrahi, Physica A 127, 241 (1984).
15. W.H. Zureck, Rev. Mod. Phys. 75, 715 (2003).
16. H.J. Korsch and W. Leyes, New Journal of Physics 4, 62 (2002).
17. M. Baranger, M.A.M. de Aguiar, F. Keck, H.J. Korsch, and B. Schellhaass, J. Phys. A: Math. Gen. 34, 7227 (2001).
18. Ph. Jacquod and R.S. Whitney, arXiv:cond-mat/0512662.
19. J.L. Schoendorff, H.J. Korsch, and N. Moiseyev Europhys. Lett. 44, 290 (1998).
20. F. Pennini, A.R. Plastino, and A. Plastino, Physica A 258, 446 (1998).
21. R.P. Di Sisto, S. Martinez, R.B. Orellana, A.R. Plastino, A. Plastino, Physica A 265, 590 (1999).
22. F. Pennini and A. Plastino, Phys. Lett. A 326, 20 (2004)
23. S. Gnuzmann, K. Życzkowski, J. Phys. A 34, 10123 (2001).
24. R.J. Glauber, Phys. Rev. 131, 2766 (1963).
25. J.R. Klauder and B.S. Skagerstam, Coherent states, World Scientific, Singapore, (1985).
26. J. Schnack, Europhys. Lett. 45, 647 (1999).
27. E. T. Jaynes in Statistical Physics, ed. W. K. Ford (Benjamin, New York, 1963)
28. A. Katz, Statistical Mechanics, Freeman, San Francisco, (1967).
29. E.H. Lieb, Commun. Math. Phys. 62, 35 (1978).
30. R.K. Pathria, Statistical Mechanics Pergamon Press, Exeter, (1993).
31. F. Pennini and A. Plastino, Phys. Rev. E 69, 057101 (2004).
32. J. Batle, A.R. Plastino, M. Casas, and A. Plastino, J. Phys. A: Math. Gen. 35, 10311 (2002)
33. W.J. Munro, D.F.V. James, A.G. White, and P.G. Kwiat, Phys. Rev. A 64, 0303202 (2003).
34. A.R. Plastino and A. Plastino, Phys. Rev. E 54, 4423 (1996).
35. A. Plastino, A.R. Plastino and H.G. Miller, Phys. Lett. A 235, 129 (1997).
36. Michael J.W Hall, Phys. Rev. A 62, 012107 (2000).
37. F. Pennini, A. Plastino, G.L. Ferri, Phys. Lett. A, 359, 14 (2006).