Abstract
We confirmed that the uncertainty relation between time and energy is established in fluctuations in the space and time domains that appear when coherent optical pulses propagate through a disordered static medium. The widths of temporal and spectral correlation functions of these fluctuations satisfy the relation $\ensuremath{\delta}\ensuremath{\tau}\ensuremath{\delta}\ensuremath{\omega}\ensuremath{\sim}1$, that is, $\ensuremath{\delta}\ensuremath{\tau}\ensuremath{\delta}E\ensuremath{\sim}\ensuremath{\hbar}$. The number of fluctuations is discussed on the basis of the uncertainty relation.
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