Evolution of probability measures associated with quantum systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 142 (2005) no. 2, pp. 365-370

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
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/
@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

[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