Dwell time (quantum mechanics) (source code)

= Dwell time
{disambiguate=quantum mechanics}
{title2=$\tau_D=\int_\Omega|\psi(x)|^2dx/j_{\rm in}$}

= Dwell time
{synonym}

For a stationary one-dimensional <scattering state> with incident <probability current> $j_{\rm in}>0$, the dwell time in a region $\Omega$ is its integrated <probability density> divided by incident flux. It measures occupancy per incoming rate, not a classical trajectory or a uniquely defined tunnelling traversal time.