1995/09/15 by Herbert Nachbagauer, Nachbagauer, Herbert
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum Mechanics and Applications #Theoretical and Computational Physics #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/9509302
6 pages, REVTeX, no figures
arxiv created 1995/09/15 · arxiv updated 2009/11/30
We propose an non-standard method to calculate non-equilibrium physical observables. Considering the generic example of an anharmonic quantum oscillator, we take advantage of the fact that the commutator algebra of second order polynomials in creation/annihilation operators closes. We solve the von~Neumann equation for the density-operator exactly in the mean field approximation and study the time evolution of the particle number and the expectation value < X2 > .