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TMF, 1988, Volume 77, Number 1, Pages 13–24 (Mi tmf5677)  

Convergence of model Heisenberg dynamics

E. V. Gusev


Abstract: The exactly solvable part of the Heisenberg algebra is found. It is shown that under the influence of a dynamics that approximates the Heisenberg dynamics an arbitrary potential in a certain class of potentials converges as $t\to\infty$ to a first integral of the model, while the initial state converges to a limit state. The actual dynamics corresponding to the exactly solvable part of the Heisenberg algebra is calculated exactly.

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English version:
Theoretical and Mathematical Physics, 1988, 77:1, 1010–1018

Bibliographic databases:

Received: 15.05.1987

Citation: E. V. Gusev, “Convergence of model Heisenberg dynamics”, TMF, 77:1 (1988), 13–24; Theoret. and Math. Phys., 77:1 (1988), 1010–1018

Citation in format AMSBIB
\Bibitem{Gus88}
\by E.~V.~Gusev
\paper Convergence of model Heisenberg dynamics
\jour TMF
\yr 1988
\vol 77
\issue 1
\pages 13--24
\mathnet{http://mi.mathnet.ru/tmf5677}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=972478}
\transl
\jour Theoret. and Math. Phys.
\yr 1988
\vol 77
\issue 1
\pages 1010--1018
\crossref{https://doi.org/10.1007/BF01028675}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1988AD89600002}


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