The spectrum minimum for random Schroedinger operators with indefinite sign potentials

doi:10.1063/1.2162825

Title: The spectrum minimum for random Schroedinger operators with indefinite sign potentials

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Abstract

This paper sets out to study the spectral minimum for an operator belonging to the family of random Schroedinger operators of the form H{sub {lambda}}{sub ,{omega}}=-{delta}+W{sub per}+{lambda}V{sub {omega}}, where we suppose that V{sub {omega}} is of Anderson type and the single site is assumed to be with an indefinite sign. Under some assumptions we prove that there exists {lambda}{sub 0}>0 such that for any {lambda} set-membership sign [0,{lambda}{sub 0}], the minimum of the spectrum of H{sub {lambda}}{sub ,{omega}} is obtained by a given realization of the random variables.

Authors:

Najar, Hatem ^[1]

Departement de Mathematiques Physiques, I.P.E.I. Monastir, 5000 Monastir (Tunisia)

Publication Date:: Sun Jan 15 00:00:00 EST 2006

OSTI Identifier:: 20768718

Resource Type:: Journal Article

Resource Relation:: Journal Name: Journal of Mathematical Physics; Journal Volume: 47; Journal Issue: 1; Other Information: DOI: 10.1063/1.2162825; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; POTENTIALS; QUANTUM OPERATORS; RANDOMNESS; SCHROEDINGER EQUATION; SPECTRA

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                    Najar, Hatem. The spectrum minimum for random Schroedinger operators with indefinite sign potentials.  United States: N. p., 2006. 
        Web.  doi:10.1063/1.2162825.

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                    Najar, Hatem. The spectrum minimum for random Schroedinger operators with indefinite sign potentials.  United States.  doi:10.1063/1.2162825.

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                    Najar, Hatem. Sun .  
        "The spectrum minimum for random Schroedinger operators with indefinite sign potentials".  United States.  
        doi:10.1063/1.2162825.

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@article{osti_20768718,

  title        = {The spectrum minimum for random Schroedinger operators with indefinite sign potentials},

  author       = {Najar, Hatem},

  abstractNote = {This paper sets out to study the spectral minimum for an operator belonging to the family of random Schroedinger operators of the form H{sub {lambda}}{sub ,{omega}}=-{delta}+W{sub per}+{lambda}V{sub {omega}}, where we suppose that V{sub {omega}} is of Anderson type and the single site is assumed to be with an indefinite sign. Under some assumptions we prove that there exists {lambda}{sub 0}>0 such that for any {lambda} set-membership sign [0,{lambda}{sub 0}], the minimum of the spectrum of H{sub {lambda}}{sub ,{omega}} is obtained by a given realization of the random variables.},

  doi          = {10.1063/1.2162825},

  journal      = {Journal of Mathematical Physics},

  number       = 1,

  volume       = 47,

  place        = {United States},

  year         = {Sun Jan 15 00:00:00 EST 2006},

  month        = {Sun Jan 15 00:00:00 EST 2006}

}

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DOI: 10.1063/1.2162825

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