Wigner distribution function and entropy of the damped harmonic oscillator within the theory of the open quantum systems
- Isar, Aurelian
- Jan 1, 1995.
- Physical Description:
- 1 electronic document
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- 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 behavior shows that this quantity relaxes to its equilibrium value.
- NASA Technical Reports Server (NTRS) Collection.
- Document ID: 19950016573.
Accession ID: 95N22990.
NASA. Goddard Space Flight Center, Second International Workshop on Harmonic Oscillators; p 275-282.
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