arXiv Open Access 2005

The spectrum minimum for random Schrödinger operators with indefinite sign potentials

Hatem Najar

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Abstrak

This paper sets out to study the spectral minimum for operator belonging to the family of random Schrödinger operators of the form $H\_{λ,ω}=-Δ+W\_{\text{per}}+λV\_ω$, where we suppose that $V\_ω$ is of Anderson type and the single site is assumed to be with an indefinite sign. Under some assumptions we prove that there exists $λ\_0>0$ such that for any $λ\in [0,λ\_0]$, the minimum of the spectrum of $H\_{λ,ω}$ is obtained by a given realization of the random variables.

Topik & Kata Kunci

math.SP

Penulis (1)

Hatem Najar

Format Sitasi

APA MLA BibTeX

Najar, H. (2005). The spectrum minimum for random Schrödinger operators with indefinite sign potentials. https://arxiv.org/abs/math/0510522

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Informasi Jurnal

Tahun Terbit: 2005
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓