Expansion of the spectrum in the weak disorder regime for random operators in continuum space

DOI10.1142/S0219199717500080zbMath1386.35291arXiv1610.01103MaRDI QIDQ4594996

Ivan Veselić, Francisco Hoecker-Escuti, Denis I. Borisov

Publication date: 27 November 2017

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.01103

zbMATH Keywords

random Hamiltonianalmost sure spectrum weak disorderexpansion of spectrum

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Random operators and equations (aspects of stochastic analysis) (60H25) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (3)

Spectral localization for quantum Hamiltonians with weak random delta interaction ⋮ Quantum Hamiltonians with weak random abstract perturbation. II: Localization in the expanded spectrum ⋮ Expansion of the spectrum in the weak disorder regime for random operators in continuum space

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