10 papers · 1 filter
Strong-disorder expansion of the root-averaged density of states for the Anderson model on the Bethe lattice
Masahiro Kaminaga
We study the root-averaged density of states for the Anderson model on the Bethe lattice in the strong-disorder regime. Here the density of states means the root-averaged spectral…
Determinant Formulas for Scattering Matrices of Schrödinger Operators with Finitely Many Concentric -Shells
Masahiro Kaminaga
We study stationary scattering for Schrödinger operators in with finitely many concentric --shell interactions of constant real strengths. Starting from the self--…
Schrödinger operators with concentric --shell interactions
Masahiro Kaminaga
We study Schrödinger operators on with finitely many concentric spherical -shell interactions. The operators are defined by the quadratic form method and are descr…
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…
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…
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…