Dynamics
Unknown macro: {latex}
$s(t)=e^{-t/T_{2}}\int P(r)e^{-i\int^
Unknown macro: {t}
_
Unknown macro: {0}
\omega(r,t')dt'}dr$
- Coherent - when $\omega$ is not a function of $r$ (There are no interesting dynamics)
- Stationary - when $\omega$ is not a function of time (the system can be refucus by a $\pi$ pulse for any time)
- Incoherent - stationary and not coherent, explicitly $\omega$ is a function of $r$ (interesting question is the distribution of $\omega(r)$
- Decoherent - when $\omega$ is a function of time and $r$, and the t dependence is stochastic/Marchovian (interesting dynamics: distribution of $\omega(r)$, spectral density of $\omega(r)$)
- Periodic - $\omega$ is a simple function of time (interesting dynamics: distribution of $\omega(r)$ at the characteristic frequency)