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In quantum mechanics, the quantum revival is a periodic recurrence of the quantum wave functionfrom its original form during the time evolution either many times in space as the multiple scaled fractionsin the form of the initial wave function or approximately or exactly to its original form from the beginning. The quantum wave function periodic in time exhibits therefore the full revival every period. The phenomenon of revivals is most readily observable for the wave functions being well localized wave packets at the beginning of the time evolution for example in the hydrogen atom. For Hydrogen, the fractional revivals show up as multiple angular Gaussian bumps around the circle drawn by the radial maximum of leading circular state component of theoriginal localized state and the full revival as the original Gaussian.The full revivals are exact for the infinite quantum well, harmonic oscillator or the hydrogen atom, while for shorter times are approximate for the hydrogen atom and a lot of quantum systems.
The plot of collapses and revivals of quantum oscillations of the JCM atomic inversion.
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