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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… Expand
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Papers overview

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2018
2018
Abstract We present a replica path integral approach describing the quantum chaotic dynamics of the SYK model at large time… Expand
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2017
2017
We present a quantum ergodicity theorem for fixed spectral window and sequences of compact hyperbolic surfaces converging to the… Expand
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2013
2013
Quantum ergodicity theorem states that for quantum systems with ergodic classical flows, eigenstates are, on average, uniformly… Expand
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Highly Cited
2004
Highly Cited
2004
Abstract.We construct an equivariant microlocal lift for locally symmetric spaces. In other words, we demonstrate how to lift, in… Expand
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2004
2004
We investigate statistical properties of the eigenfunctions of the Schrödinger operator on families of star graphs with… Expand
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2003
2003
Consider a compact Riemannian manifold with ergodic geodesic flow. Quantum ergodicity is generalized from orthonormal bases of… Expand
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2002
2002
Suppose that Ω⊂ℝn is a bounded, piecewise smooth domain. We prove that the boundary values (Cauchy data) of eigenfunctions of the… Expand
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Highly Cited
1999
Highly Cited
1999
The unphysical flow of zero-point energy (ZPE) in classical trajectory calculations is a consequence of the fact that the… Expand
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Highly Cited
1995
Highly Cited
1995
© Publications mathématiques de l’I.H.É.S., 1995, tous droits réservés. L’accès aux archives de la revue « Publications math… Expand
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1993
1993
The [FHCl]− molecular anion has been investigated in detail by means of state‐of‐the‐art ab initio electronic structure methods… Expand
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