New tests of quantum mechanics with unstable nuclei

We propose and analyze two new tests of quantum mechanics that would probe the time evolution of unstable nuclei. The first is a search for a time-dependent nuclear magnetic moment in radioisotopes over several half-lives. The second is a novel application of the Mössbauer effect to search for a time-dependent nuclear transition frequency in a radioisotope over several half-lives. The complexity of non-perturbative quantum chromodynamics (QCD) makes unstable nuclei promising candidates for the observation of deviations from quantum mechanics.