 Misra and Sudarshan use this sequence as a model for continuous measurement, by supposing that the sequence above converges to an operator \(T(t)=E\), and that it does so for all times \(t\) greater than or equal to zero. The aim is for this to capture the claim that the atom is continually monitored beginning at a fixed time \(t=0\). They prove from this assumption that, for most reasonable quantum systems, if the initial state is undecayed in the sense that \(\mathrm{Tr}(\rho E)=1\), then the probability that the atom will decay in any given time interval \([0,t]\) is equal to zero. That is, continual monitoring implies that the atom will never decay.