Davydov-Chaban Hamiltonian for gamma=30 degrees and time-dependent interaction

摘要

In this article, the Davydov-Chaban Hamiltonian for collective motion of atomic nuclei by considering the rigidity at gamma = 30 degrees with a time-dependent interaction has been studied. Throughout this article, the Lewis-Riesenfeld dynamical invariant method has been used, that enables us to derive the wave function of our considered system which has explicit time dependence. Derivation of the Lewis-Riesenfeld dynamical invariant has been mentioned in detail. After deriving the eigen values and functions, the wave functions have been derived according to the eigen functions of the Lewis-Riesenfeld dynamical invariant. Some discussions about our results have been done in the last part of this paper.