Geodesic
Convergence of model Heisenberg dynamics
Teoretičeskaâ i matematičeskaâ fizika, Tome 77 (1988) no. 1, pp. 13-24

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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. 
@article{TMF_1988_77_1_a1,
     author = {E. V. Gusev},
     title = {Convergence of model {Heisenberg} dynamics},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {13--24},
     publisher = {mathdoc},
     volume = {77},
     number = {1},
     year = {1988},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1988_77_1_a1/}
}
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E. V. Gusev. Convergence of model Heisenberg dynamics. Teoretičeskaâ i matematičeskaâ fizika, Tome 77 (1988) no. 1, pp. 13-24. http://geodesic.mathdoc.fr/item/TMF_1988_77_1_a1/