×

On quantum stochastic dynamics. (English) Zbl 0876.46041

Summary: We review a recent progress in the domain of quantum stochastic dynamics for a quantum spin system on a lattice. In particular, we present some new construction of noncommutative \(L_p\) spaces and we show how one can exploit this framework to construct stochastic dynamics of jump and diffusion type.

MSC:

46L51 Noncommutative measure and integration
46L53 Noncommutative probability and statistics
46L54 Free probability and free operator algebras
82C10 Quantum dynamics and nonequilibrium statistical mechanics (general)
46L55 Noncommutative dynamical systems
46L60 Applications of selfadjoint operator algebras to physics
PDFBibTeX XMLCite