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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 161, Number 3, Pages 459–468
DOI: https://doi.org/10.4213/tmf6452 (Mi tmf6452) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Convolution theorem for the three-dimensional entangled fractional Fourier transformation deduced from the tripartite entangled state representation

Shu-guang Liua, Hong-yi Fanb

a Department of Applied Mathematics and Physics, Anhui University of Technology and Science, Wuhu, Anhui, China
b Department of Material Science and Engineering, University of Science and Technology of China, Hefei, Anhui, China
Full-text PDF (414 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf6452
Abstract: We find that constructing the two mutually-conjugate tripartite entangled state representations naturally leads to the entangled Fourier transformation. We then derive the convolution theorem for the three-dimensional entangled fractional Fourier transformation in the context of quantum mechanics.
Keywords: three-dimensional entangled fractional Fourier transformation, convolution theorem, tripartite entangled state representation.
Received: 07.11.2008
Revised: 14.02.2009
English version:
Theoretical and Mathematical Physics, 2009, Volume 161, Issue 3, Pages 1714–1722
DOI: https://doi.org/10.1007/s11232-009-0156-6
Bibliographic databases:
Language: Russian
Citation: Shu-guang Liu, Hong-yi Fan, “Convolution theorem for the three-dimensional entangled fractional Fourier transformation deduced from the tripartite entangled state representation”, TMF, 161:3 (2009), 459–468; Theoret. and Math. Phys., 161:3 (2009), 1714–1722
Citation in format AMSBIB
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    • This publication is cited in the following 4 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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