10 citations · 22 across the 9 of their papers we have counts for
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Eigenfunctions at the threshold energies of magnetic Dirac operators
Yoshimi Saito, Tomio Umeda
Discussed are modes and resonances of Dirac operators with vector potentials . Asymptotic limits of modes at infinity are…
The asymptotic limits of zero modes of massless Dirac operators
Yoshimi Saito, Tomio Umeda
Asymptotic behaviors of zero modes of the massless Dirac operator are discussed, where is the triple of Dirac matrices, $ D=\f…
The zero modes and zero resonances of massless Dirac operators
Yoshimi Saito, Tomio Umeda
The zero modes and zero resonances of the Dirac operator are discussed, where is the triple of Dirac matrices, $ D=\frac{1}{i}…
The reduced wave equation in layered materials
Willi Jager, Yoshimi Saito
Let H = -(1/m(x))L be the reduced wave operator defined on the N-dimensional Euclidean space, where \f L is the Laplacian. Here m(x) is a positive step function with possible count…
On the spectrum of the reduced wave operator with cylindrical discontinuity
Willi Jager, Yoshimi Saito
Consider the differential operator H = -(1/m(x))L, where L is the N-dimensional Laplacian, in the weighted Hilbert space of square integrable functions on N-dimensional Euclidean s…
Resolvent estimates of the Dirac operator
Chris Pladdy, Yoshimi Saito, Tomio Umeda
We shall investigate the asymptotic behavior of the extended resolvent R(s) of the Dirac operator as |s| increases to infinity, where s is a real parameter. It will be shown that t…