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math-ph2007
Quantum Ergodicity for products of hyperbolic planes
Dubi Kelmer
For manifolds with geodesic flow that is ergodic on the unit tangent bundle, the quantum ergodicity theorem implies that almost all Laplacian eigenfunctions become equidistributed…
math-ph2005★ 2 cited
On the quantum variance of matrix elements for the cat map on the 4-dimensional torus
Dubi Kelmer
For many classically chaotic systems, it is believed that in the semiclassical limit, the matrix elements of smooth observables approach the phase space average of the observable.…