Evolution of probability measures associated with quantum systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 142 (2005) no. 2, pp. 365-370 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We derive the evolution equation for probability distributions and characteristic functions of the quantum tomograms associated with the linear and nonlinear evolutions of quantum states.
Keywords: quantum tomograms
Mots-clés : evolution equations.
@article{TMF_2005_142_2_a12,
     author = {G. G. Amosov and V. I. Man'ko},
     title = {Evolution of probability measures associated with quantum systems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {365--370},
     year = {2005},
     volume = {142},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2005_142_2_a12/}
}
TY  - JOUR
AU  - G. G. Amosov
AU  - V. I. Man'ko
TI  - Evolution of probability measures associated with quantum systems
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2005
SP  - 365
EP  - 370
VL  - 142
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_2005_142_2_a12/
LA  - ru
ID  - TMF_2005_142_2_a12
ER  - 
%0 Journal Article
%A G. G. Amosov
%A V. I. Man'ko
%T Evolution of probability measures associated with quantum systems
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2005
%P 365-370
%V 142
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_2005_142_2_a12/
%G ru
%F TMF_2005_142_2_a12
G. G. Amosov; V. I. Man'ko. Evolution of probability measures associated with quantum systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 142 (2005) no. 2, pp. 365-370. http://geodesic.mathdoc.fr/item/TMF_2005_142_2_a12/

[1] J. Bertrand, P. Bertrand, Found. Phys., 17 (1987), 397 ; K. Vogel, H. Risken, Phys. Rev. A, 40 (1989), 2847 | DOI | MR | DOI

[2] D. T. Smithey, M. Beck, M. G. Raymer, A. Faridani, Phys. Rev. Lett., 70 (1993), 1244 | DOI

[3] E. P. Wigner, Phys. Rev., 40 (1932), 749 | DOI | Zbl

[4] A. S. Holevo, Statistical structure of quantum theory, Lect. Notes Phys., 67, Springer, Berlin, 2001 | DOI | MR | Zbl

[5] G. G. Amosov, V. I. Man'ko, Phys. Lett. A, 318 (2003), 287 | DOI | MR | Zbl

[6] G. G. Amosov, V. I. Man'ko, J. Russ. Laser Res., 25 (2003), 253 | DOI

[7] S. De Nicola, R. Fedele, M. A. Man'ko, V. I. Man'ko, Eur. Phys. J. B, 36 (2003), 385 ; J. Russ. Laser Res., 25 (2004), 1 | DOI | DOI | MR

[8] K. E. Cahill, R. J. Glauber, Phys. Rev., 177 (1969), 1882 | DOI

[9] L. A. Takhtadzhyan, L. D. Faddeev, Gamiltonov podkhod v teorii solitonov, Nauka, M., 1986 | MR | Zbl