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Zapiski Nauchnykh Seminarov POMI, 1998, Volume 251, Pages 42–48 (Mi znsl669)  
Spectral gaps in the $XXZ$ quantum spin chain

H.-P. Eckle

Department of Physics, University of Jyväskylä
Full-text PDF (126 kB)
Abstract: We report on the behavior of the finite-size energy spectrum of the Heisenberg–Ising ($XXZ$) quantum spin chain in the momentum $\pi$ sector. Our numerical and perturbative results for the behavior of energy gaps are explained by considering the motion of string solutions of the Bethe-Ansatz equations.
Received: 26.01.1998
English version:
Journal of Mathematical Sciences (New York), 2001, Volume 104, Issue 3, Pages 1111–1114
DOI: https://doi.org/10.1023/A:1011388605029
Bibliographic databases:
UDC: 517.9
Language: English
Citation: H.-P. Eckle, “Spectral gaps in the $XXZ$ quantum spin chain”, Questions of quantum field theory and statistical physics. Part 15, Zap. Nauchn. Sem. POMI, 251, POMI, St. Petersburg, 1998, 42–48; J. Math. Sci. (New York), 104:3 (2001), 1111–1114
Citation in format AMSBIB
\Bibitem{Eck98}
\by H.-P.~Eckle
\paper Spectral gaps in the $XXZ$ quantum spin chain
\inbook Questions of quantum field theory and statistical physics. Part~15
\serial Zap. Nauchn. Sem. POMI
\yr 1998
\vol 251
\pages 42--48
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl669}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1737866}
\zmath{https://zbmath.org/?q=an:0980.82005}
\transl
\jour J. Math. Sci. (New York)
\yr 2001
\vol 104
\issue 3
\pages 1111--1114
\crossref{https://doi.org/10.1023/A:1011388605029}
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