O ct 2 00 5 The spectrum minimum for random Schrödinger operators with indefinite sign potentials 2 nd February 2008
نویسنده
چکیده
This paper sets out to study the spectral minimum for operator belonging to the family of random Schrödinger operators of the form Hλ,ω = −∆+Wper + λVω, where we suppose that Vω is of Anderson type and the single site is assumed to be with an indefinite sign. Under some assumptions we prove that there exists λ0 > 0 such that for any λ ∈ [0, λ0], the minimum of the spectrum of Hλ,ω is obtained by a given realization of the random variables. 2000 Mathematics Subject Classification:81Q10, 35P05, 37A30,47F05.
منابع مشابه
The spectrum minimum for random Schrödinger operators with indefinite sign potentials
This paper sets out to study the spectral minimum for operator belonging to the family of random Schrödinger operators of the form Hλ,ω = −∆+Wper + λVω, where we suppose that Vω is of Anderson type and the single site is assumed to be with an indefinite sign. Under some assumptions we prove that there exists λ0 > 0 such that for any λ ∈ [0, λ0], the minimum of the spectrum of Hλ,ω is obtained b...
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