The spectral structure of the electronic black box Hamiltonian

DOI10.1007/s11005-013-0634-5zbMath1296.47005arXiv1208.2420OpenAlexW2043750048MaRDI QIDQ372943

Matthias Westrich, Vojkan Jakšić, Philip D. Grech

Publication date: 21 October 2013

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.2420

zbMATH Keywords

finite rank perturbationselectronic black box modelsingular continuous spectrum

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Local spectral properties of linear operators (47A11)

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Landauer-Büttiker formula and Schrödinger conjecture ⋮ Landauer-Büttiker and Thouless conductance

Cites Work

• Transient and recurrent spectrum
• Quantum electrodynamics of confined nonrelativistic particles
• Transport properties of quasi-free fermions
• Independent electron model for open quantum systems: Landauer-Büttiker formula and strict positivity of the entropy production
• Singular continuous spectrum under rank one perturbations and localization for random hamiltonians
• Topics in Non-Equilibrium Quantum Statistical Mechanics
• Spectral theory of Pauli-Fierz operators.
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