35 citations · 217 across the 32 of their papers we have counts for
Showing 2015 · math-phShow all
3 papers · 2 filters
math-ph2015★ 1 cited
Essential spectrum of the discrete Laplacian on a perturbed periodic graph
Itaru Sasaki, Akito Suzuki
We address the Laplacian on a perturbed periodic graph which might not be a periodic graph. We present a class of perturbed graphs for which the essential spectra of the Laplacians…
math-ph2015★ 1 cited
Generator of an abstract quantum walk
Etsuo Segawa, Akito Suzuki
We consider an abstract quantum walk defined by a unitary evolution operator , which acts on a Hilbert space decomposed into a direct sum of Hilbert spaces $\{\mathcal{H}_v \}_{…
math-ph2015★ 11 cited
Spectral mapping theorem of an abstract quantum walk
Yusuke Higuchi, Etsuo Segawa, Akito Suzuki
Given two Hilbert spaces, and , we introduce an abstract unitary operator on and its discriminant on induced by a coi…