T. Mine

activity

20162024

most citedA self-adjointness criterion for the Schrödinger operator with infinitely many point interactions and its application to random operators

8 citations · 10 across the 4 of their papers we have counts for

collaborators

Showing 2016 · math-phShow all

2 papers · 2 filters

math-ph2016★ 1 cited

Schrödinger operators with random $δ$ magnetic fields

Takuya Mine, Yuji Nomura

We shall consider the Schrödinger operators on $R^{2}$ with random $δ$ magnetic fields. Under some mild conditions on the positions and the fluxes of the $δ$ -fields, we prov…

math-ph2016★ 1 cited

Quantum diffusion in the Kronig-Penney model

Masahiro Kaminaga, Takuya Mine

In this paper we consider the 1D Schrödinger operator $H$ with periodic point interactions. We show an $L^{1} - L^{\infty}$ bound for the time evolution operator $e^{- i t H}$ restricted to…

Schrödinger operators with random δ magnetic fields

Quantum diffusion in the Kronig-Penney model

Schrödinger operators with random $δ$ magnetic fields