The Limiting Absorption Principle for Massless Dirac Operators, Properties of Spectral Shift Functions, and an Application to the Witten Index of Non-Fredholm Operators

DOI10.4171/MEMS/4zbMath1529.81006arXiv2105.03024MaRDI QIDQ6171969

Dmitriy Zanin, Pheodor A. Sukochev, Alan L. Carey, Galina Levitina, Roger A. Nichols, Friedrich Gesztesy

Publication date: 18 July 2023

Published in: Memoirs of the European Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.03024

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Schrödinger operator, Schrödinger equation (35J10) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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Trace class properties of resolvents of Callias operators ⋮ The Witten index for one-dimensional split-step quantum walks under the non-Fredholm condition

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