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Quantum ergodicity

Known as: Quantum unique ergodicity 
In quantum chaos, a branch of mathematical physics, quantum ergodicity is a property of the quantization of classical mechanical systems that are… 
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Related topics

Related topics

8 relations
Chaos theoryEigenstate thermalization hypothesisErgodic hypothesisQuantization (physics)

Broader (2)

Ergodic theoryQuantum mechanics

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2016
2016
Uniform ergodicities and perturbation bounds of Markov chains on ordered Banach spaces
In this paper, we consider uniformly mean ergodic and uniformly asymptotical stable Markov operators on ordered Banach spaces. In… 
2014
2014
On intrinsic ergodicity and weakenings of the specification property
2014
2014
Target Coverage Research Based on Improved Binary Differential Algorithm
. The TH-HESN (three-dimensional heterogeneous sensor networks) target coverage measures have been studied in the recent years… 
2012
2012
Quantum ergodicity for restrictions to hypersurfaces
Quantum ergodicity theorem states that for quantum systems with ergodic classical flows, eigenstates are, on average, uniformly… 
Review
2007
Review
2007
Entropy of Eigenfunctions
We study the high-energy limit for eigenfunctions of the Laplacian, on a compact negatively curved manifold. We review the recent… 
2004
2004
Adelic dynamics and arithmetic quantum unique ergodicity
Let M be a complete Riemannian manifold with finite volume which we initially assume to be compact. Then since M is compact, L2(M… 
Review
2001
Review
2001
On Quantum Unique Ergodicity for Linear Maps of the Torus
The problem of “quantum ergodicity” addresses the limiting distribution of eigenfunctions of classically chaotic systems. I… 
Highly Cited
1999
Highly Cited
1999
Flow of zero-point energy and exploration of phase space in classical simulations of quantum relaxation dynamics. II. Application to nonadiabatic processes
The unphysical flow of zero-point energy (ZPE) in classical trajectory calculations is a consequence of the fact that the… 
1993
1993
The (FHCl)- molecular anion - Structural aspects, global surface, and vibrational eigenspectrum
The [FHCl]− molecular anion has been investigated in detail by means of state‐of‐the‐art ab initio electronic structure methods… 
1986
1986
Uniform ergodic theorems for locally integrable semigroups and pseudoresolvents
We study uniform ergodicity (at oo) of a locally integrable operator semigroup T(.) of type wo under a suitable condition which… 
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