Covariant Quantum Dynamical Semigroups: Unbounded generators
arXiv:quant-ph/9701037 · doi:10.1007/BFb0106777
Abstract
A survey of the probabilistic approaches to quantum dynamical semigroups with unbounded generators is given. An emphasis is made upon recent advances in the structural theory of covariant Markovian master equations. The relations with the classical Levy-Khinchin formula are elucidated. As an example, a complete characterizations of the Galilean covariant irreversible quantum Markovian evolutions is given in terms of the corresponding quantum master and Langevin equations. Important topics for future investigation are outlined.
arXiv comment14 pages,Latex, no figures, submitted to the Semigroup Volume, Group 21, Goslar 1996
Cited by in corpus (7)
- Quantum dynamical semigroups for diffusion models with Hartree interaction
- Exact dynamics of moments and correlation functions for fermionic Poisson-type GKSL equations
- Moments dynamics and stationary states for classical diffusion-type GKSL equations
- Suppressed dispersion for a randomly kicked quantum particle in a Dirac comb
- Diffusive limit for a quantum linear Boltzmann dynamics
- Decoherence rates for Galilean covariant dynamics
- A ballistic motion disrupted by quantum reflections