Osaka Journal of Mathematics

Infinite divisibility of random measures associated to some random Schrödinger operators

Fumihiko Nakano

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Abstract

We study a random measure which describes distribution of eigenvalues and corresponding eigenfunctions of random Schrödinger operators on $L^{2}(\mathbf{R}^{d})$. We show that in the natural scaling every limiting point is infinitely divisible.

Article information

Source
Osaka J. Math., Volume 46, Number 3 (2009), 845-862.

Dates
First available in Project Euclid: 26 October 2009

Permanent link to this document
https://projecteuclid.org/euclid.ojm/1256564209

Mathematical Reviews number (MathSciNet)
MR2583332

Zentralblatt MATH identifier
1180.82106

Subjects
Primary: 82B44: Disordered systems (random Ising models, random Schrödinger operators, etc.) 81Q10: Selfadjoint operator theory in quantum theory, including spectral analysis

Citation

Nakano, Fumihiko. Infinite divisibility of random measures associated to some random Schrödinger operators. Osaka J. Math. 46 (2009), no. 3, 845--862. https://projecteuclid.org/euclid.ojm/1256564209


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References

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Osaka University and Osaka City University, Departments of Mathematics

Osaka Journal of Mathematics

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