This volume provides the latest developments in the field of fractional dynamics, which
covers fractional (anomalous) transport phenomena, fractional statistical mechanics …

When we were preparing the first edition of this book, the concept of de coherence was
known only to a minority of physicists. In the meantime, a wealth of contributions has …

Reinvigorated by advances and insights, in particular from the active fields of quantum
information and computing, the quantum theory of irreversible processes has recently …

New ideas on the mathematical foundations of quantum mechanics, related to the theory of
quantum measurement, as well as the emergence of quantum optics, quantum electronics …

" Quantum theory is the soul of theoretical physics. It is not just a theory of specific physical
systems, but rather a new framework with universal applicability. This book shows how we …

A general approach to the construction of non-Markovian quantum theory is proposed. Non-
Markovian equations for quantum observables and states are suggested by using general …

AN Kolmogorov and J. von Neumann proposed in the 30's two sets of axioms for the
mathematical modelling of random phenomena. In the classical (Kolmogorov) models one …

We provide an in-depth and thorough treatment of the validity of the rotating-wave
approximation (RWA) in an open quantum system. We find that when it is introduced after …

Fractional dynamics of open quantum systems and sectors of national economies, where the
parameters depend on time, are discussed. We show that the quantum and economic …

The conservativity of a minimal quantum dynamical semigroup is proved whenever there
exists a “generalized” subharmonic operator bounded from below by the dissipative part of …