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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 374, Pages 107–120
(Mi znsl3597)
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This article is cited in 1 scientific paper (total in 1 paper)
On spectral curve for functional-difference Shrödinger equation
G. M. Golovachev, A. O. Smirnov St. Petersburg State University of Aerospace Instrumentation, St. Petersburg, Russia
Abstract:
The method of construction some set of finite-gap solutions of functional-difference deformation Shrödinger equation $v(x)f(x+2h)+f(x)=\lambda f(x+h)$ is offered. It is shown that edges of gaps of corresponding spectral curve depend on $x$. Examples are given. Bibl. – 7 titles.
Key words and phrases:
finite-gap solution, difference equation, functional-difference equation, spectral curve.
Received: 09.03.2010
Citation:
G. M. Golovachev, A. O. Smirnov, “On spectral curve for functional-difference Shrödinger equation”, Questions of quantum field theory and statistical physics. Part 21, Zap. Nauchn. Sem. POMI, 374, POMI, St. Petersburg, 2010, 107–120; J. Math. Sci. (N. Y.), 168:6 (2010), 820–828
Linking options:
https://www.mathnet.ru/eng/znsl3597 https://www.mathnet.ru/eng/znsl/v374/p107
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Abstract page: | 218 | Full-text PDF : | 75 | References: | 35 |
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