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5 papers · 2 filters
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…
Recurrence Relations of the Multi-Indexed Orthogonal Polynomials : III
Satoru Odake
In a previous paper, we presented conjectures of the recurrence relations with constant coefficients for the multi-indexed orthogonal polynomials of Laguerre, Jacobi, Wilson and As…
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 \}_{…
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…
Differential geometric invariants for time-reversal symmetric Bloch-bundles: the "Real" case
Giuseppe De Nittis, Kiyonori Gomi
Topological quantum systems subjected to an even (resp. odd) time-reversal symmetry can be classified by looking at the related "Real" (resp. "Quaternionic") Bloch-bundles. If from…