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math-ph2005★ 2 cited
Arithmetic Quantum Unique Ergodicity for Symplectic Linear Maps of the Multidimensional Torus
Dubi Kelmer
We look at the expectation values for quantized linear symplectic maps on the multidimensional torus and their distribution in the semiclassical limit. We construct super-scars tha…
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.…