98-744 Vladimir Georgescu, Christian Gerard
On the Virial Theorem in Quantum Mechanics (43K, DVI file) Dec 7, 98
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Abstract. We review the various assumptions under which abstract versions of the quantum mechanical virial theorem have been proved. We point our a relationship between the virial theorem for a pair of operators $H, A$ and the regularity properties of the map $\rr\ni s\mapsto \e^{\i sA}(z-H)^{-1}\e^{\i sA}$. We give an example showing that the statement of the virial theorem in \cite{CFKS} is incorrect.

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