Monte Carlo shell model for atomic nuclei

摘要: Abstract The development, present status and future perspectives of the Monte Carlo shell model are discussed. development limitation conventional calculations shown, stochastic approaches introduced. As one such approaches, Quantum Diagonalization (QMCD) method has been proposed. formulation QMCD is presented with an illustrative example. While a general for solving quantum many-body interacting systems, its application to nuclear referred as Shell Model (MCSM). A test MCSM presented, confirming feasibility MCSM. represents breakthrough in calculations: level structure low-lying states can be studied realistic interactions wide, probably basically unlimited, variety nuclei. two major characteristic features: including many single-particle orbits capability handling valence nucleons. We some applications which these features played essential roles. Such include exotic nuclei around neutron number 20, unified description spherical superdeformed 56Ni, new effective interaction pf-shell their description, microscopic studies on spherical-deformed shape phase transition γ-unstable deformation.