The IDS and Asymptotic of the Largest Eigenvalue of Random\n Schr "odinger Operators with Decaying Random Potential

2020/09/02 by Dhriti Ranjan Dolai, Dolai, Dhriti Ranjan
Mathematics · Computer Science · #Spectral Theory in Mathematical Physics #Mathematical Approximation and Integration #Advanced Mathematical Modeling in Engineering

paper · pdf · doi:10.48550/arxiv.2009.00839

Abstract

In this work we obtain the integrated density of states for the\nSchr "odinger operators with decaying random potentials acting on\n\ℓ²(\ℤ^d). We also study the asymptotic of the largest and\nsmallest eigenvalues of its finite volume approximation\n

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