Eur. Phys. J. Plus (2017) 132: 351
https://doi.org/10.1140/epjp/i2017-11612-8

Regular Article

Davydov-Chaban Hamiltonian for and time-dependent interaction

Physics Department, Shahrood University of Technology, Shahrood, Iran

^* e-mail: hadisobhani8637@gmail.com

Received: 19 April 2017
Accepted: 24 June 2017
Published online: 14 August 2017

Abstract

In this article, the Davydov-Chaban Hamiltonian for collective motion of atomic nuclei by considering the rigidity at 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.