Calculating means of quantum observables in the~optical tomography representation
Teoretičeskaâ i matematičeskaâ fizika, Tome 171 (2012) no. 3, pp. 475-482
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We introduce a dual map from the special class $\mathcal A$ of quantum observables $\hat a$ to a special class of generalized functions $a(X,\phi)$. The class $\mathcal A$ includes all symmetrized polynomials in the canonical variables $\hat q$ and $\hat p$.
Keywords:
optical tomogram, mean quantum observable, dual map.
@article{TMF_2012_171_3_a8,
author = {G. G. Amosov and Ya. A. Korennoi and V. I. Man'ko},
title = {Calculating means of quantum observables in the~optical tomography representation},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {475--482},
publisher = {mathdoc},
volume = {171},
number = {3},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2012_171_3_a8/}
}
TY - JOUR AU - G. G. Amosov AU - Ya. A. Korennoi AU - V. I. Man'ko TI - Calculating means of quantum observables in the~optical tomography representation JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2012 SP - 475 EP - 482 VL - 171 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2012_171_3_a8/ LA - ru ID - TMF_2012_171_3_a8 ER -
%0 Journal Article %A G. G. Amosov %A Ya. A. Korennoi %A V. I. Man'ko %T Calculating means of quantum observables in the~optical tomography representation %J Teoretičeskaâ i matematičeskaâ fizika %D 2012 %P 475-482 %V 171 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2012_171_3_a8/ %G ru %F TMF_2012_171_3_a8
G. G. Amosov; Ya. A. Korennoi; V. I. Man'ko. Calculating means of quantum observables in the~optical tomography representation. Teoretičeskaâ i matematičeskaâ fizika, Tome 171 (2012) no. 3, pp. 475-482. http://geodesic.mathdoc.fr/item/TMF_2012_171_3_a8/