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Infinite representability of Schrödinger operators with ergodic potential

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Publication:1063844
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DOI10.4171/ZAA/113zbMath0574.47017MaRDI QIDQ1063844

H. Englisch, Klaus-Detlef Kürsten

Publication date: 1984

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)


zbMATH Keywords

Laplacianself-adjoint operators\(\sigma \) -algebra generated by cylindrical setsdensity of states measurespectrum of Schrödinger operators corresponding to ergodic potentials


Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Spectrum, resolvent (47A10) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Representation theory of linear operators (47A67)


Related Items (5)

The phase formalism for one-dimensional random Schrödinger operators ⋮ On energy gaps in a new type of analytically solvable model in quantum mechanics ⋮ Random Hamiltonians ergodic in all but one direction ⋮ Special energies and special frequencies ⋮ On the integrated density of states for crystals with randomly distributed impurities




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