Physics – Mathematical Physics
Scientific paper
2009-08-20
Physics
Mathematical Physics
24 pages; In the new version, we added several references concerning open quantum systems and present an extended result on li
Scientific paper
We analyze the time evolution describing a quantum source for noninteracting particles, either bosons or fermions. The growth behaviour of the particle number (trace of the density matrix) is investigated, leading to spectral criteria for sublinear or linear growth in the fermionic case, but also establishing the possibility of exponential growth for bosons. We further study the local convergence of the density matrix in the long time limit and prove the semiclassical limit.
Butz Maximilian
Spohn Herbert
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