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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 144, Number 2, Pages 384–393
DOI: https://doi.org/10.4213/tmf1863 (Mi tmf1863) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Fresnel Tomography: A Novel Approach to Wave-Function Reconstruction Based on the Fresnel Representation of Tomograms

S. De Nicolaa, R. Fedelebc, M. A. Man'kod, V. I. Man'kod

a Istituto di Cibernetica "Eduardo Caianiello"
b Università degli Studi di Napoli Federico II
c Complesso Universitario di Monte S. Angelo
d P. N. Lebedev Physical Institute, Russian Academy of Sciences
Full-text PDF (370 kB) Citations (17)
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DOI: https://doi.org/10.4213/tmf1863
Abstract: We introduce a new type of tomographic probability distribution containing complete information about the density matrix (wave function) related to the Fresnel transform of the complex wave function. We elucidate the relation to the symplectic tomographic probability distribution. We present a multimode generalization of the Fresnel tomography and give examples of applications of the present approach.
Keywords: tomographic map, phase space, Wigner function, Bose–Einstein condensate, Fresnel tomogram.
English version:
Theoretical and Mathematical Physics, 2005, Volume 144, Issue 2, Pages 1206–1213
DOI: https://doi.org/10.1007/s11232-005-0151-5
Bibliographic databases:
Language: Russian
Citation: S. De Nicola, R. Fedele, M. A. Man'ko, V. I. Man'ko, “Fresnel Tomography: A Novel Approach to Wave-Function Reconstruction Based on the Fresnel Representation of Tomograms”, TMF, 144:2 (2005), 384–393; Theoret. and Math. Phys., 144:2 (2005), 1206–1213
Citation in format AMSBIB
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\paper Fresnel Tomography: A Novel Approach to Wave-Function Reconstruction Based on the Fresnel Representation of Tomograms
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\pages 384--393
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\transl
\jour Theoret. and Math. Phys.
\yr 2005
\vol 144
\issue 2
\pages 1206--1213
\crossref{https://doi.org/10.1007/s11232-005-0151-5}
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  • https://www.mathnet.ru/eng/tmf1863
  • https://doi.org/10.4213/tmf1863
  • https://www.mathnet.ru/eng/tmf/v144/i2/p384
    • This publication is cited in the following 17 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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