University of Hyogo

output

20032009

most citedZero modes and the edge states of the honeycomb lattice

129 citations

Showing math.SPShow all

3 papers · 1 filter

math.SP2008

Generalized eigenfunctions of relativistic Schroedinger operators in two dimensions

Tomio Umeda, Dabi Wei

Generalized eigenfunctions of the two-dimensional relativistic Schrödinger operator $H = - Δ + V (x)$ with $∣ V (x) ∣ \leq C < x >^{- σ}$ , $σ > 3/2$ , are considered. We compute the integra…

math.SP2008

Eigenfunctions of Dirac operators at the threshold energies

Tomio Umeda

We show that the eigenspaces of the Dirac operator $H = α \cdot (D - A (x)) + m β$ at the threshold energies $\pm m$ are coincide with the direct sum of the zero space and the kernel o…

math.SP2006★ 3 cited

The zero modes and zero resonances of massless Dirac operators

Yoshimi Saito, Tomio Umeda

The zero modes and zero resonances of the Dirac operator $H = α \cdot D + Q (x)$ are discussed, where $α = (α_{1}, α_{2}, α_{3})$ is the triple of $4 \times 4$ Dirac matrices, $ D=\frac{1}{i}…