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4 papers · 2 filters
Casoratian Identities for the Discrete Orthogonal Polynomials in Discrete Quantum Mechanics with Real Shifts
Satoru Odake
In our previous papers, the Wronskian identities for the Hermite, Laguerre and Jacobi polynomials and the Casoratian identities for the Askey-Wilson polynomial and its reduced form…
Notes on the Feynman path integral for the Dirac equation
Wataru Ichinose
This paper is a continuation of the author's preceding one. In the preceding paper the author has rigorously constructed the Feynman path integral for the Dirac equation in the for…
Quantum walks with an anisotropic coin I: spectral theory
S. Richard, A. Suzuki, R. Tiedra de Aldecoa
We perform the spectral analysis of the evolution operator U of quantum walks with an anisotropic coin, which include one-defect models, two-phase quantum walks, and topological ph…
The FKMM-invariant in low dimension
Giuseppe De Nittis, Kiyonori Gomi
In this paper we investigate the problem of the cohomological classification of "Quaternionic" vector bundles in low-dimension (). We show that there exists a charact…