LOCALIZATION ON A QUANTUM GRAPH WITH A RANDOM POTENTIAL ON THE EDGES

DOI10.1142/S0129055X07003140zbMath1147.82018arXivmath-ph/0612087OpenAlexW2068372624MaRDI QIDQ3502909

Mario Helm, Peter Stollmann, Pavel Exner

Publication date: 20 May 2008

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

Full work available at URL: https://arxiv.org/abs/math-ph/0612087

zbMATH Keywords

Schrödinger operatorslocalizationrandom potentialslattice graphs

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Applications of quantum theory to specific physical systems (81V99)

Related Items (10)

Electronic states in ordered and disordered quantum networks: With applications to graphene and to boron nanotubes ⋮ Continuity of the integrated density of states on random length metric graphs ⋮ The modulus of continuity of Wegner estimates for random Schrödinger operators on metric graphs ⋮ Quadratic eigenvalue problems for second order systems ⋮ Some abstract Wegner estimates with applications ⋮ Localization on quantum graphs with random vertex couplings ⋮ Spectral theory of infinite quantum graphs ⋮ ANDERSON LOCALIZATION FOR A MULTI-PARTICLE QUANTUM GRAPH ⋮ Localization on quantum graphs with random edge lengths ⋮ Continuity properties of the integrated density of states on manifolds

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