On quantum stochastic differential equations with unbounded coefficients
We prove an existence, uniqueness and unitarity theorem for quantum stochastic differential equations with unbounded coefficients which satisfy an analyticity condition on a common dense invariant domain. This result, applied to the quantum harmonic oscillator, gives a rigorous meaning to a large class of stochastic differential equations that have been considered formally in quantum probability.
quantum stochastic differential equations
scientific article; zbMATH DE number 4122985
scientific article