On absolutely continuous spectrum for one-channel unitary operators

被引：1

作者：

Bourget, Olivier ^{[1
]}

Moreno, Gregorio ^{[1
]}

Sadel, Christian ^{[1
]}

Taarabt, Amal ^{[1
]}

机构：

[1] Pontificia Univ Catolica Chile, Fac Matemat, Santiago, Chile

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2024年 / 114卷 / 05期

关键词：

Quantum walks; Transfer matrices; Spectral measure; Disordered scattering zippers; Delocalization; AC spectrum; RANDOM SCHRODINGER-OPERATORS; ANDERSON MODEL; TRANSFER-MATRICES; LARGE DEVIATIONS; QUANTUM WALKS; LOCALIZATION; TREE; PROOF;

D O I：

10.1007/s11005-024-01866-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we develop the radial transfer matrix formalism for unitary one-channel operators. This generalizes previous formalisms for CMV matrices and scattering zippers. We establish an analog of Carmona's formula and deduce criteria for absolutely continuous spectrum which we apply to random Hilbert Schmidt perturbations of periodic scattering zippers.

引用

页数：41

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