منابع مشابه
97 Covariant Quantum Dynamical Semigroups : Unbounded Generators
A survey of 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. 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 equati...
متن کاملCovariant Quantum Dynamical Semigroups: Unbounded Generators
A survey of 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. 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 equati...
متن کاملGenerators of Detailed Balance Quantum Markov Semigroups
For a quantum Markov semigroup T on the algebra B(h) with a faithful invariant state ρ, we can define an adjoint T̃ with respect to the scalar product determined by ρ. In this paper, we solve the open problems of characterising adjoints T̃ that are also a quantum Markov semigroup and satisfy the detailed balance condition in terms of the operators H,Lk in the Gorini Kossakowski Sudarshan Lindblad...
متن کاملMatrix Transformations and Generators of Analytic Semigroups
In this paper, we are interested in the study of operators represented by infinite matrices. Note that in [1], Altay and Başar gave some results on the fine spectrum of the difference operator Δ acting on the sequence spaces c0 and c. Then they dealt with the fine spectrum of the operator B(r,s) defined by a matrix band over the sequence spaces c0 and c. In de Malafosse [3, 5], there are result...
متن کاملCores for generators of some Markov semigroups ∗
We consider a stochastic differential equation on Rd with Lipschitz coefficients. We find a core for the infinitesimal generator of the corresponding Markov process. Some applications, in particular, to well-posedness of Fokker–Planck equations are given. 2000 Mathematics Subject Classification AMS: 60H10, 60J35, 47D07.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1979
ISSN: 0022-1236
DOI: 10.1016/0022-1236(79)90085-5