Initial length scale estimate for waveguides with some random singular potentials

D. I. Borisov; R. Kh. Karimov; T. F. Sharapov

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arXiv · 1507.02235

Initial length scale estimate for waveguides with some random singular potentials

D. I. Borisov·R. Kh. Karimov·T. F. Sharapov

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Abstract

In this work we consider three examples of random singular perturbations in multi-dimensional models of waveguides. These perturbations are described by a large potential supported on a set of a small measure, by a compactly supported fast oscillating potential, and by a delta-potential. In all cases we prove initial length scale estimate.

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BibTeX RIS

D. I. Borisov, R. Kh. Karimov, T. F. Sharapov. 2015-07-08. Initial length scale estimate for waveguides with some random singular potentials. https://arxiv.org/abs/1507.02235

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