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TMF, 2012, Volume 171, Number 3, Pages 475–482 (Mi tmf6927)  

This article is cited in 2 scientific papers (total in 2 papers)

Calculating means of quantum observables in the optical tomography representation

G. G. Amosova, Ya. A. Korennoib, V. I. Man'kob

a Steklov Mathematical Institute, RAS, Moscow, Russia
b Lebedev Physical Institute, RAS, Moscow, Russia

Abstract: 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

Funding Agency Grant Number
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Ministry of Education and Science of the Russian Federation 2.1.1/12136
Russian Foundation for Basic Research 10-02-00312
11-02-00456


DOI: https://doi.org/10.4213/tmf6927

Full text: PDF file (352 kB)
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English version:
Theoretical and Mathematical Physics, 2012, 171:3, 832–838

Bibliographic databases:

Received: 23.06.2011
Revised: 22.09.2011

Citation: G. G. Amosov, Ya. A. Korennoi, V. I. Man'ko, “Calculating means of quantum observables in the optical tomography representation”, TMF, 171:3 (2012), 475–482; Theoret. and Math. Phys., 171:3 (2012), 832–838

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. G. G. Amosov, “On tomographic representation on the plane of the space of Schwartz operators and its dual”, Lobachevskii J. Math., 38:4, SI (2017), 595–599  mathnet  mathnet  crossref  mathscinet  zmath  isi  scopus
    2. G. G. Amosov, S. Mancini, I V. Manko, “Tomographic portrait of quantum channels”, Rep. Math. Phys., 81:2 (2018), 165–176  crossref  mathscinet  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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