The IDS and Asymptotic of the Largest Eigenvalue of Random Schr\"{o}dinger Operators with Decaying Random Potential

Dhriti Ranjan Dolai

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arXiv · 2009.00839

The IDS and Asymptotic of the Largest Eigenvalue of Random Schr\"{o}dinger Operators with Decaying Random Potential

Dhriti Ranjan Dolai

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Abstract

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

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BibTeX RIS

Dhriti Ranjan Dolai. 2020-09-02. The IDS and Asymptotic of the Largest Eigenvalue of Random Schr\"{o}dinger Operators with Decaying Random Potential. https://arxiv.org/abs/2009.00839

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