Investigation of the time evolution of Lane-emden-type Kanai-caldirola oscillator

Abstract

In this study, we have investigated the time evolution of the first kind Lane-Emden-type Kanai-Caldirola oscillator. The total energy of the one dimensional classical harmonic oscillator with time-dependent mass is obtained. Then by using the SU(1,1) coherent states, the classical equation of motion of the oscillator has been analyzed and the effects of increasing mass have been clearly illustrated in the figures. © 2009 American Institute of Physics.