%0 Journal Article %T Microscopic derivation of the quadrupole collective Hamiltonian for shape coexistence/mixing dynamics %A Kenichi Matsuyanagi %A Masayuki Matsuo %A Takashi Nakatsukasa %A Kenichi Yoshida %A Nobuo Hinohara %A Koichi Sato %J Physics %D 2015 %I arXiv %X Assuming that the time-evolution of the self-consistent mean field is determined by five pairs of collective coordinate and collective momentum, we microscopically derive the collective Hamiltonian for low-frequency quadrupole modes of excitation. We show that the five-dimensional collective Schr\"odinger equation is capable of describing large-amplitude quadrupole shape dynamics seen as shape coexistence/mixing phenomena. We focus on basic ideas and recent advances of the approaches based on the time-dependent mean-field theory, but relations to other time-independent approaches are also briefly discussed. %U http://arxiv.org/abs/1507.03709v1