Journal of the Korean Physical Society
Investigation of a time-dependent two-body system via the Lewis-Riesenfeld dynamical invariant method
Hadi Sobhani, HASSAN HASSANABADI
Abstract
In this paper, we study a system with a time-dependent essence and a relative pseudo-harmonic interaction. In order to investigate the time evolution of such a system, we employed the Lewis-Riesenfeld dynamical invariant method. We constructed the dynamical invariant and derived its explicit form. Then, we derived the Eigen function of this invariant. Finally, we used this Eigen to obtain the wave function. We also discussed the physical meaning of the results.