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Teoreticheskaya i Matematicheskaya Fizika, 2022, Volume 212, Number 3, Pages 403–413
DOI: https://doi.org/10.4213/tmf10276 (Mi tmf10276) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Superpositions of coherent states determined by Gauss sums

V. P. Spiridonovab

a Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Moscow Region, Russia
b National Research University "Higher School of Economics", Moscow, Russia
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DOI: https://doi.org/10.4213/tmf10276
Abstract: We describe a family of quantum states of the Schrödinger cat type as superpositions of the harmonic oscillator coherent states with coefficients defined by the quadratic Gauss sums. These states emerge as eigenfunctions of the lowering operators obtained after canonical transformations of the Heisenberg–Weyl algebra associated with the ordinary and fractional Fourier transformations. The first member of this family is given by the well known Yurke–Stoler coherent state.
Keywords: coherent states, harmonic oscillator, Gauss sums, Fourier transformation.
Funding agency Grant number
HSE Basic Research Program
This study has been partially funded within the framework of the HSE University Basic Research Program.
Received: 01.03.2022
Revised: 01.03.2022
English version:
Theoretical and Mathematical Physics, 2022, Volume 212, Issue 3, Pages 1237–1245
DOI: https://doi.org/10.1134/S0040577922090069
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. P. Spiridonov, “Superpositions of coherent states determined by Gauss sums”, TMF, 212:3 (2022), 403–413; Theoret. and Math. Phys., 212:3 (2022), 1237–1245
Citation in format AMSBIB
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\by V.~P.~Spiridonov
\paper Superpositions of coherent states determined by Gauss sums
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\vol 212
\issue 3
\pages 403--413
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2022TMP...212.1237S}
\transl
\jour Theoret. and Math. Phys.
\yr 2022
\vol 212
\issue 3
\pages 1237--1245
\crossref{https://doi.org/10.1134/S0040577922090069}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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