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math-ph2025
Landau-level splitting by a circular interaction: boundary overlap and the hard-wall crossover
Masahiro Kaminaga
A thin circular barrier lifts the angular momentum degeneracy of Landau states according to their overlap with the barrier. We quantify this effect for the two-dimensional Landau H…
math-ph2025
A Transmission Framework for Stark Operators with Interactions on a Compact Lipschitz Interface
Masahiro Kaminaga
We study an elliptic transmission problem associated with a Stark operator and a interaction on a compact Lipschitz interface in . The background differential expr…
math-ph2025
Controlled atomic limit and analytic density of states in a strongly attractive random Kronig-Penney model
Masahiro Kaminaga
We study the negative-energy density of states of a one-dimensional random Kronig-Penney model with independent and identically distributed attractive delta interactions. Each isol…