On quantum stochastic differential equations with unbounded coefficients
Copyright policy )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.
- Polytechnic University of Milan Italy
- University of Trento Italy
quantum harmonic oscillator, Quantum stochastic calculus, quantum stochastic differential equations, Stochastic ordinary differential equations (aspects of stochastic analysis)
quantum harmonic oscillator, Quantum stochastic calculus, quantum stochastic differential equations, Stochastic ordinary differential equations (aspects of stochastic analysis)
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