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… (More)
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2013
2013
HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they… (More)
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2008
2008
For a general class of unitary quantum maps, whose underlying classical phase space is divided into ergodic and non-ergodic… (More)
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2008
2008
We prove quantum ergodicity for a family of graphs that are obtained from ergodic one-dimensional maps of an interval using a… (More)
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2008
2008
The Quantum Unique Ergodicity (QUE) conjecture of RudnickSarnak is that every quantum (Laplace) eigenfunction φn of an ergodic… (More)
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2007
2007
  • Dubi Kelmer
  • 2007
For manifolds with geodesic flow that is ergodic on the unit tangent bundle, the quantum ergodicity theorem implies that almost… (More)
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Highly Cited
2004
Highly Cited
2004
We classify measures on the locally homogeneous space Γ\SL(2, R)×L which are invariant and have positive entropy under the… (More)
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2004
2004
We investigate statistical properties of the eigenfunctions of the Schrödinger operator on families of star graphs with… (More)
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2003
2003
Consider a compact Riemannian manifold with ergodic geodesic flow. Quantum ergodicity is generalized from orthonormal bases of… (More)
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2002
2002
Suppose that Ω is a bounded convex domain in R whose boundary is a C manifold with corners. We prove that the boundary values… (More)
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1999
1999
We prove a strong version of quantum ergodicity for linear hyperbolic maps of the torus (“cat maps”). We show that there is a… (More)
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