Joint Entropy of the Harmonic Oscillator with Time Dependent Mass and Frequency

Time dependent entropy of harmonic oscillator with time dependent mass and frequency are investigated. The joint entropy so called Leipnik's entropy is calculated by using time dependent wave function obtained by the Feynman path integral method. It is shown that, Leipnik's entropy fluctuates with time. However in constant mass and time dependent frequency case, entropy increases monotonically with time.