Large-amplitude motion in the Suzuki model

The classical and quantum aspects of the analytically solvable one-dimensional purely monopole Suzuki model are studied to clarify the problem of quantization of classical collective motion. A set of nonlinear dynamical equations for the monopole moment of a nucleus are derived from the time-dependent Hartree-Fock equation by using the Wigner function moments. It provides a description of large-amplitude monopole vibrations. The corresponding collective Hamiltonian is constructed and quantized. The anharmonicity of the collective spectra is analyzed in detail