- Conference date: 29-31 July 2002
- Location: San Diego, California (USA)
Recent developments on the complex spectral representation of the evolution operators have shown that irreversibility is a rigorous dynamical process that takes place outside the Hilbert space for non‐integrable systems, both classical and quantum. Irreversibility is a direct consequence of microscopic dynamical processes associated with resonance singularities, rather than our incomplete knowledge. We discuss the excitation process of a quantum unstable particle by scattering of a wave packet. Using complex eigenstates of the Hamiltonian one may construct a microscopic dynamical entropy (or function) without any approximation. In order to have scattering, one has to target the wave packet to the particle. This introduces a nonlocal pre‐collisional correlation giving a low dynamical entropy. During the moment the excited particle is created, there appears an entropy flow from the field to the particle. This lowers the particle component of the entropy, even though the total entropy production is always positive. This implies that the excitation of the particle may be considered as the construction of a non‐equilibrium structure due to entropy flow.
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