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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 171, Number 3, Pages 475–482
DOI: https://doi.org/10.4213/tmf6927 (Mi tmf6927) 		 
This article is cited in 5 scientific papers (total in 5 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
Full-text PDF (352 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf6927
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
Received: 23.06.2011
Revised: 22.09.2011
English version:
Theoretical and Mathematical Physics, 2012, Volume 171, Issue 3, Pages 832–838
DOI: https://doi.org/10.1007/s11232-012-0078-6
Bibliographic databases:
Language: Russian
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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  • https://www.mathnet.ru/eng/tmf/v171/i3/p475
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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