Výsledky vyhledávání - "Najar, Hatem"

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Lifshitz tails for matrix-valued Anderson models

This paper is devoted to the study of Lifshitz tails for a continuous matrix-valued Anderson-type model $H_{\omega}$ acting on $L^2(\R^d)\otimes \C^{D}$, for arbitrary $d\geq 1$ and $D\geq 1$. We prove that the integrated density of states of $H_{\om

Externí odkaz: http://arxiv.org/abs/1111.3121

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Spectral and localization properties of the Dirichlet wave guide with two concentric Neumann discs

Autor: Najar, Hatem, Olendski, Oleg

Bound states of the Hamiltonian describing a quantum particle living on three dimensional straight strip of width $d$ are investigated. We impose the Neumann boundary condition on the two concentric windows of the radii $a$ and $ b$ located on the op

Externí odkaz: http://arxiv.org/abs/1011.3133

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Lifshitz tails for a percolation model in the continuum

Autor: Kirsch, Werner, Najar, Hatem

In this paper we study Lifshitz tails for continuous Laplacian in a continuous site percolation situation. By this we mean that we delete a random set $\Gamma_\omega$ from $IR^d$ and consider the Dirichlet or Neumann Laplacian on $D=IR^d\setminus\Gam

Externí odkaz: http://arxiv.org/abs/1002.2103

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The spectrum minimum for random Schr\'{o}dinger operators with indefinite sign potentials

Autor: Najar, Hatem

This paper sets out to study the spectral minimum for operator belonging to the family of random Schr\"{o}dinger operators of the form $H\_{\lambda,\omega}=-\Delta+W\_{\text{per}}+\lambda V\_{\omega}$, where we suppose that $V\_{\omega}$ is of Anders

Externí odkaz: http://arxiv.org/abs/math/0510522

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Results dealing with the behavior of the integrated density of states of random divergence operators

Autor: Najar, Hatem

In this paper we generalize and improve results proven for acoustic operators in \cite{jmp,long}. It deals with the behavior of the integrated density of states of random divergence operators of the form $H\_\omega=\sum\_{i,j=1}^d\partial\_{x\_{i}}a\

Externí odkaz: http://arxiv.org/abs/math/0507385

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About a result of S.M. Kozlov

Autor: Najar, Hatem

We give an alternative proof and improve upon a result of S.M. Kozlov \cite{ko}. It deals with the asymptotic of the integrated density of states of the acoustic operator $\displaystyle H_\omega=-\nabla\rho_\omega\nabla$, at the bottom of the spectru

Externí odkaz: http://arxiv.org/abs/math-ph/0412012

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