- 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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