Can I read Quantum Interacting Particle Systems Volume 14 on EtoBox?

Quantum Interacting Particle Systems Volume 14 by Accardi, Luigi; Fagnola, Franco is a scholarly article available to read on EtoBox.

What is Quantum Interacting Particle Systems Volume 14 about?

The problem of extending ideas and results on the dynamics of infinite classical lattice systems to the quantum domain naturally arises in different branches of physics (nonequilibrium statistical mechanics, quantum optics, solid state, ...) and new momentum from the development of quantum computer and quantum neural networks (which are in fact interacting arrays of binary systems) has been found. The stochastic limit of quantum theory allowed to deduce, as limits of the usual Hamiltonian systems, a new class of quantum stochastic flows which, when restricted to an appropriate Abelian subalgebra, produces precisely those interacting particle systems studied in classical statistical mechanics. Moreover, in many interesting cases, the underlying classical process "drives" the quantum one, at least as far as ergodicity or convergence to equilibrium are concerned. Thus many deep results concerning classical systems can be directly applied to carry information on the corresponding quantum system. The thermodynamic limit itself is obtained thanks to a technique (the four-semigroup method, new even in the classical case) which reduces the infinitesimal structure of a stochastic flow to th

Author

Accardi, Luigi; Fagnola, Franco

Publisher

World Scientific Publishing Co Pte Ltd

Published

2002

Language

EN

ISBN

9789812776853