Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-04-21
Physics
High Energy Physics
High Energy Physics - Theory
8 pages, Latex (Contribution to the Second Workshop on Harmonic Oscillators, Cocoyoc, Mexico, March 23-25, 1994)
Scientific paper
The harmonic oscillator with dissipation is studied within the framework of the Lindblad theory for open quantum systems. By using the Wang-Uhlenbeck method, the Fokker-Planck equation, obtained from the master equation for the density operator, is solved for the Wigner distribution function, subject to either the Gaussian type or the $\delta$-function type of initial conditions. The obtained Wigner functions are two-dimensional Gaussians with different widths. Then a closed expression for the density operator is extracted. The entropy of the system is subsequently calculated and its temporal behaviour shows that this quantity relaxes to its equilibrium value.
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