Research PaperNo Access

The IDS and asymptotic of the largest eigenvalue of random Schrödinger operators with decaying random potential

Dhriti Ranjan Dolai

Indian Institute of Technology Dharwad, Dharwad 580011, India

https://doi.org/10.1142/S0129055X21500264Cited by:2 (Source: Crossref)

Abstract

In this work, we obtain the integrated density of states for the Schrödinger operators with decaying random potentials acting on $ℓ^{2} (ℤ^{d})$ . We also study the asymptotic of the largest and smallest eigenvalues of its finite volume approximation.

Keywords:

AMSC: 81Q10, 47B80, 35P20

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