Remarks on the uncertainty relation in scattering theory (Q1109310)

Denoting by H the Hamiltonian of the scattered particle by Q its position operator, by \(\Omega_{\pm}\) the wave operators and by \(\psi\) a scattering state the author proves the inequality: \[ <\psi,H\psi ><\Omega \quad *_{\pm}\psi,[Q-<\Omega \quad *_{\pm}\psi,Q\quad *_{\pm}\psi >]\quad 2\Omega \quad *_{\pm}\psi >\geq \frac{9}{4}\hslash \quad 2 \] and discusses its entropic formulation.