 93182 Werner, R.F.
 On the concentration of quantum states in phase space
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Jun 17, 93

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Abstract. Let $E(x)$, for $x$ in a $2d$dimensional phase space, be an
irreducible Weyl system, and $\Phi:{\bf R}\sp+\to{\bf R}\sp+$ a
convex function with $\Phi(0)=0$. We discuss the maximum of
$\int dx\ \Phi\bigl(\vert\langle\phi,E(x)\psi\rangle\vert\sp2\bigr)$
with respect to unit vectors $\phi,\psi$. When $\Phi(t)=t\sp p$ with
$1<p<\infty$ the maximum is attained if and only if $\phi$ and
$\psi$ are coherent states with respect to the same quadratic form.
We show that this statement is not correct for more general convex
functions $\Phi$.
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