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• W3104148715 abstract "Consider the 3-dimensional Laplacian with a potential described by point scatterers placed on the integer lattice. We prove that for Floquet-Bloch modes with fixed quasi-momentum satisfying a certain Diophantine condition, there is a subsequence of eigenvalues of positive density whose eigenfunctions exhibit equidistribution in position space and localisation in momentum space. This result complements the result of Uebersch{a}r and Kurlberg who show momentum localisation for zero quasi-momentum in 2-dimensions, and is the first result in this direction in 3-dimensions." @default.
• W3104148715 created "2020-11-23" @default.
• W3104148715 creator A5052039443 @default.
• W3104148715 date "2016-08-01" @default.
• W3104148715 modified "2023-09-25" @default.
• W3104148715 title "On the phase-space distribution of Bloch eigenmodes for periodic point scatterers" @default.
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• W3104148715 doi "https://doi.org/10.1063/1.4960469" @default.
• W3104148715 hasPublicationYear "2016" @default.
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