On a Quantization of the Classical θ-Functions

The Jacobi theta-functions admit a definition through the autonomous differential equations (dynamical system); not only through the famous Fourier theta-series. We study this system in the framework of Hamiltonian dynamics and find corresponding Poisson brackets. Availability of these ingredients a...

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Bibliographic Details
Date:2015
Main Author: Brezhnev, Y.V.
Format: Article
Language:English
Published: Інститут математики НАН України 2015
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/147012
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On a Quantization of the Classical θ-Functions / Y.V. Brezhnev // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 19 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine