Geodesic
On a~family of commutative Wick symbols
Teoretičeskaâ i matematičeskaâ fizika, Tome 47 (1981) no. 1, pp. 38-49

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Conditions are found under which an infinite system of bosons with two-body interaction has a one-parameter family of integrals of the motion determined by the Wick symbol $$ A(\lambda)=\exp\biggl[\dfrac1\lambda\mathbf P+\dfrac{h}{2\lambda^2}\mathbf V \biggr], $$ where $\mathbf V$ and $\mathbf P$ are the Wick symbols of the interaction and momentum operatore, respectively. Examples of interaction potentials for which these conditions are satisfied are given. The complete integrability of the corresponding classical systems is proved. 
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     author = {A. A. Tsvetkov},
     title = {On a~family of commutative {Wick} symbols},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {38--49},
     publisher = {mathdoc},
     volume = {47},
     number = {1},
     year = {1981},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1981_47_1_a1/}
}
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A. A. Tsvetkov. On a~family of commutative Wick symbols. Teoretičeskaâ i matematičeskaâ fizika, Tome 47 (1981) no. 1, pp. 38-49. http://geodesic.mathdoc.fr/item/TMF_1981_47_1_a1/