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 TMF, 1976, Volume 26, Number 3, Pages 382–386 (Mi tmf3237)

Dynamics in the state space and Heisenberg equations

V. M. Maksimov

Abstract: It is shown that if the dynamical transformations form a group of affine bounded transformations on some full set of states and the generator of this group admits closure in the $w^*$ topology then the dynamic transformations are generated by Heisenberg equations on the algebra of observables with closed, densely defined Heisenberg operator that is the operator of unbounded differentiation on the algebra. The problem of extending a dynamics defined on some full folium of states to a larger class of states is considered briefly.

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English version:
Theoretical and Mathematical Physics, 1976, 26:3, 259–262

Bibliographic databases:

Citation: V. M. Maksimov, “Dynamics in the state space and Heisenberg equations”, TMF, 26:3 (1976), 382–386; Theoret. and Math. Phys., 26:3 (1976), 259–262

Citation in format AMSBIB
\Bibitem{Mak76} \by V.~M.~Maksimov \paper Dynamics in the state space and Heisenberg equations \jour TMF \yr 1976 \vol 26 \issue 3 \pages 382--386 \mathnet{http://mi.mathnet.ru/tmf3237} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=471749} \zmath{https://zbmath.org/?q=an:0343.47033|0416.47018} \transl \jour Theoret. and Math. Phys. \yr 1976 \vol 26 \issue 3 \pages 259--262 \crossref{https://doi.org/10.1007/BF01032098}