A CENTRAL LIMIT THEOREM FOR MAGNETIC TRANSITION OPERATORS ON A CRYSTAL LATTICE

DOI10.1112/S0024610701002770zbMath1013.60011OpenAlexW2159932716MaRDI QIDQ3151112

Motoko Kotani

Publication date: 22 October 2002

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

Full work available at URL: https://doi.org/10.1112/s0024610701002770

zbMATH Keywords

Schrödinger operatorcentral limit theoremcrystal latticestandard realizationgeneralized Harper operatormagnetic transition operator

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Random linear operators (47B80) Schrödinger and Feynman-Kac semigroups (47D08)

Related Items (6)

Lipschitz continuity of the spectra of the magnetic transition operators on a crystal lattice. ⋮ Rate of convergence in Trotter's approximation theorem and its applications ⋮ Central limit theorems for non-symmetric random walks on nilpotent covering graphs. I ⋮ Long time asymptotics of non-symmetric random walks on crystal lattices ⋮ Laws of the iterated logarithm on covering graphs with groups of polynomial volume growth ⋮ Central limit theorems for non-symmetric random walks on nilpotent covering graphs. II

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