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- W1996910588 abstract "We look at the expectation values for quantized linear symplectic maps on the multidimensional torus and their distribu- tion in the semiclassical limit. We construct super-scars that are stable under the arithmetic symmetries of the system and localize on invariant manifolds. We show that these super-scars exist only when there are isotropic rational subspaces, invariant under the linear map. In the case where there are no such scars, we com- pute the variance of the fluctuations of the matrix elements for the desymmetrized system, and present a conjecture for their limiting distributions." @default.
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- W1996910588 date "2010-03-25" @default.
- W1996910588 modified "2023-10-16" @default.
- W1996910588 title "Arithmetic quantum unique ergodicity for symplectic linear maps of the multidimensional torus" @default.
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- W1996910588 doi "https://doi.org/10.4007/annals.2010.171.815" @default.
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