Ergodic properties of quantum conservative systems
نویسندگان
چکیده
In this paper we discuss the ergodic properties of quantum conservative systems by analyzing the behavior of two different models. Despite their intrinsic differencies they both show localization effects in analogy to the dynamical localization found in Kicked Rotator.
منابع مشابه
SOME ERGODIC PROPERTIES OF HYPER MV {ALGEBRA DYNAMICAL SYSTEMS
This paper provides a review on major ergodic features of semi-independent hyper MV {algebra dynamical systems. Theorems are presentedto make contribution to calculate the entropy. Particularly, it is proved that thetotal entropy of those semi-independent hyper MV {algebra dynamical systemsthat have a generator can be calculated with respect to their generator ratherthan considering all the par...
متن کاملIndividual ergodic theorem for intuitionistic fuzzy observables using intuitionistic fuzzy state
The classical ergodic theory hasbeen built on σ-algebras. Later the Individual ergodictheorem was studied on more general structures like MV-algebrasand quantum structures. The aim of this paper is to formulate theIndividual ergodic theorem for intuitionistic fuzzy observablesusing m-almost everywhere convergence, where m...
متن کاملOn Strictly Weak Mixing C-dynamical Systems and a Weighted Ergodic Theorem
Recently, the investigation of the ergodic properties of quantum dynamical systems had a considerable growth. Since the theory of quantum dynamical systems provides convenient mathematical description of the irreversible dynamics of an open quantum system (see [9], sec.4.3, [31],[27]). In this setting, the matter is more complicated than in the classical case. Some differences between classical...
متن کاملLevel shift operators for open quantum systems
Level shift operators describe the second order displacement of eigenvalues under perturbation. They play a central role in resonance theory and ergodic theory of open quantum systems at positive temperatures. We exhibit intrinsic properties of level shift operators, properties which stem from the structure of open quantum systems at positive temperatures and which are common to all such system...
متن کاملErgodic Properties for a Quantum Non Linear Dynamics
We present a quantum system composed of innnitely many particles, subject to a non quadratic Hamiltonian, for which it is possible to investigate the long time behavior of the dynamics and its ergodic properties. We do so both for the KMS states and for a large class of locally normal invariant states, whose very existence is already of some interest. 1. Introduction The last years have witness...
متن کامل