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In this talk, I present basic ideas, results and applications of the quantum dynamical resonance theory. This mathematically rigorous theory, developed over the last decade, describes the effective evolution of quantum systems interacting with environments (heat baths, noises). The core technical result is an expansion of the quantum propagator into parts characterized by decay rates and decay directions (in state space). This allows for a detailed analysis of irreversible phenomena caused by the environments. I present applications to the theory of decoherence and (dis-)entanglement of qubits in thermal environments and to donor-acceptor models describing charge and excitation transfer in chemical and biological systems (Marcus formula). Host: Gennady Bernman |