By Luc Rey Bellet (auth.), Stéphane Attal, Alain Joye, Claude-Alain Pillet (eds.)
Understanding dissipative dynamics of open quantum structures is still a problem in mathematical physics. This challenge is proper in numerous components of primary and utilized physics. From a mathematical standpoint, it comprises a wide physique of data. major growth within the realizing of such structures has been made over the past decade. those books found in a self-contained approach the mathematical theories enthusiastic about the modeling of such phenomena. They describe bodily proper versions, increase their mathematical research and derive their actual implications.
In quantity I the Hamiltonian description of quantum open platforms is mentioned. This comprises an advent to quantum statistical mechanics and its operator algebraic formula, modular thought, spectral research and their purposes to quantum dynamical systems.
Volume II is devoted to the Markovian formalism of classical and quantum open platforms. a whole exposition of noise thought, Markov procedures and stochastic differential equations, either within the classical and the quantum context, is equipped. those mathematical instruments are positioned into viewpoint with actual motivations and applications.
Volume III is dedicated to fresh advancements and purposes. the themes mentioned comprise the non-equilibrium houses of open quantum structures, the Fermi Golden Rule and vulnerable coupling restrict, quantum irreversibility and decoherence, qualitative behaviour of quantum Markov semigroups and continuous quantum measurements.