8 citations · 10 across the 4 of their papers we have counts for
4 papers
The transition operator of a random walk perturbated by sparse potentials
Takuya Mine, Nobuo Yoshida
We consider an operator on , where is the transition operator of a symmetric irreducible random walk, and is a ``sparse'' potential. We first char…
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…
Schrödinger operators with random magnetic fields
Takuya Mine, Yuji Nomura
We shall consider the Schrödinger operators on with random magnetic fields. Under some mild conditions on the positions and the fluxes of the -fields, we prov…
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…