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3 papers · 1 filter
math-ph2019★ 8 cited
A self-adjointness criterion for the Schrödinger operator with infinitely many point interactions and its application to random operators
Masahiro Kaminaga, Takuya Mine, Fumihiko Nakano
We prove the Schrödinger operator with infinitely many point interactions in is self-adjoint if the support of the interactions is decomposed into unifor…
math-ph2016★ 1 cited
Quantum diffusion in the Kronig-Penney model
Masahiro Kaminaga, Takuya Mine
In this paper we consider the 1D Schrödinger operator with periodic point interactions. We show an bound for the time evolution operator restricted to…
math-ph2012★ 7 cited
A Note on the Analyticity of Density of States
M. Kaminaga, M. Krishna, S. Nakamura
We consider the -dimensional Anderson model, and we prove the density of states is locally analytic if the single site potential distribution is locally analytic and the disorde…