Quantum Site Percolation on Amenable Graphs

Ivan Veselić ()
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Ivan Veselić: California Institute of Technology, Department of Mathematics

A chapter in Proceedings of the Conference on Applied Mathematics and Scientific Computing, 2005, pp 317-328 from Springer

Abstract: Abstract We consider the quantum site percolation model on graphs with a amenable group action. It consists of a random family of Hamiltonians. Basic spectral properties of these operators are derived: non-randomness of the spectrum and its components, existence of an self-averaging integrated density of states and an associated trace-formula.

Keywords: integrated density of states; random Schrödinger operators; random graphs; site percolation (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4020-3197-7_24

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DOI: 10.1007/1-4020-3197-1_24

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