General Theorems on Decoherence in the Thermodynamic Limit
Abstract
We extend the results on decoherence in the thermodynamic limit [M. Frasca, Phys. Lett. A 283, 271 (2001)] to general Hamiltonians. It is shown that N independent particles, initially properly prepared, have a set of observables behaving classically in the thermodynamic limit. This particular set of observables is then coupled to a quantum system that in this way decoheres so to have the density matrix in a mixed form. This gives a proof of the generality of this effect.
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