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• W3100865628 abstract "We prove the Schrodinger operator with infinitely many point interactions in $mathbb{R}^d$ $(d=1,2,3)$ is self-adjoint if the support of the interactions is decomposed into uniformly discrete clusters. Using this fact, we prove the self-adjointness of the Schrodinger operator with point interactions on a random perturbation of a lattice or on the Poisson configuration. We also determine the spectrum of the Schrodinger operators with random point interactions of Poisson--Anderson type." @default.
• W3100865628 created "2020-11-23" @default.
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• W3100865628 date "2019-11-12" @default.
• W3100865628 modified "2023-10-12" @default.
• W3100865628 title "A Self-adjointness Criterion for the Schrödinger Operator with Infinitely Many Point Interactions and Its Application to Random Operators" @default.
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• W3100865628 doi "https://doi.org/10.1007/s00023-019-00869-1" @default.
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