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math.PR2010★ 5 cited
Quantum stochastic differential equations and continuous measurements: unbounded coefficients
Ricardo Castro Santis, Alberto Barchielli
A natural formulation of the theory of quantum measurements in continuous time is based on quantum stochastic differential equations (Hudson-Parthasarathy equations). However, such…
math.PR2000
Stochastic differential equations for trace-class operators and quantum continual measurements
Alberto Barchielli, Anna Maria Paganoni
The theory of measurements continuous in time in quantum mechanics (quantum continual measurements) has been formulated by using the notions of instrument and positive operator val…