Vladimir Georgescu, Christian Gerard
On the Virial Theorem in Quantum Mechanics
(43K, DVI file)

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.