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Jürg Fröhlich

Quantum Dynamics of Systems Under Repeated Observation

Abstract: We start by presenting a short summary of examples of "effective dynamics" in quantum theory. We then study more closely the effective quantum dynamics of systems interacting with a long sequence of independent probes, one after another, which, afterwards, are subject to a projective measurement and are then lost. This leads us to develop a theory of indirect  measurements of time-independent quantities (non-demolition measurements). Next, the theory of indirect measurements of time-dependent quantities is outlined, and a new family of diffusion processes - "quantum jump processes" - is described. Some open problems are described.