Harmonic oscillator with power-law increasing time-dependent e ffective mass

Mercel Vubangsi (1) , Tchoffo Martin (1) , Fai Lukong Cornelius (1)

1 MMLS - Mesoscopic and Multilayer Structures Laboratory

With the aid of the dynamical invariant method, we determine the exact eigenstates of of the power-law increasing time-dependent eff ective mass harmonic oscillator. Dueling on the thermodynamic properties of the system we have determined its time-dependent speci fic heat, energy fluctuation and entropy. The eff ect on thermodynamic properties of considering a fi nite number of quantum states involved with evaluating the time-dependent partition function is analyzed. The measure of quantum decoherence and classical correlation is determined for the system.

Mots clés: time dependent effective mass; harmonic oscillator

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]

Mercel Vubangsi, Tchoffo Martin, Fai Lukong Cornelius. Harmonic oscillator with power-law increasing time-dependent e ffective mass. The African Review of Physics, 2013, 8 (0048), pp.341-347. ⟨hal-00859490⟩