Abstract:
It is shown that under the influence of the dynamics determined by the potential of the planar Heisenberg model with transverse magnetic field an initial potential reduces to a first integral of the model and an initial state to a KMS-state with respect to a first integral.
Citation:
E. V. Gusev, “Limit states and potentials of planar Heisenberg dynamics with transverse magnetic field”, TMF, 53:1 (1982), 114–128; Theoret. and Math. Phys., 53:1 (1982), 1018–1028
\Bibitem{Gus82}
\by E.~V.~Gusev
\paper Limit states and potentials of planar Heisenberg dynamics with transverse magnetic field
\jour TMF
\yr 1982
\vol 53
\issue 1
\pages 114--128
\mathnet{http://mi.mathnet.ru/tmf2615}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=693603}
\transl
\jour Theoret. and Math. Phys.
\yr 1982
\vol 53
\issue 1
\pages 1018--1028
\crossref{https://doi.org/10.1007/BF01014799}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1982QP68400012}
Linking options:
https://www.mathnet.ru/eng/tmf2615
https://www.mathnet.ru/eng/tmf/v53/i1/p114
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M. S. Bahovadinov, D. V. Kurlov, S. I. Matveenko, B. L. Altshuler, G. V. Shlyapnikov, “Many-body localization transition in a frustrated XY chain”, Phys. Rev. B, 106:7 (2022)
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R Citro, E Orignac, N Andrei, C Itoi, S Qin, “Effective theory of magnetization plateaus in a three-leg ladder with periodic boundary conditions”, J. Phys.: Condens. Matter, 12:13 (2000), 3041
Z. Maassarani, P Mathieu, “The su (N) XX model”, Nuclear Physics B, 517:1-3 (1998), 395
M P Grabowski, P Mathieu, “The structure of conserved charges in open spin chains”, J. Phys. A: Math. Gen., 29:23 (1996), 7635
E. V. Gusev, “Convergence of model Heisenberg dynamics”, Theoret. and Math. Phys., 77:1 (1988), 1010–1018