Investigation of the time evolutions of some log-periodic oscillators

Abstract

We consider the time evolution of the one dimensional classical and quantum oscillator systems according to its mass and spring constant with fluctuating time. By using the SU(1,1) coherent states, the classical equations of motion of the quantum oscillator have been obtained. Also, the effects of fluctuating mass and spring constant have been illustrated with the figures. © 2010 American Institute of Physics.