Two Point Eigenvalue Correlation for a Class of Non-Selfadjoint Operators Under Random Perturbations
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- 作者：Martin Vogel
- 刊名：Communications in Mathematical Physics
- 出版年：2017
- 出版时间：February 2017
- 年：2017
- 卷：350
- 期：1
- 页码：31-78
- 全文大小：
- 刊物类别：Physics and Astronomy
- 刊物主题：Theoretical, Mathematical and Computational Physics; Mathematical Physics; Quantum Physics; Complex Systems; Classical and Quantum Gravitation, Relativity Theory;
- 出版者：Springer Berlin Heidelberg
- ISSN：1432-0916
- 卷排序：350
文摘
We consider a non-selfadjoint h-differential model operator Ph in the semiclassical limit (\({h\rightarrow 0}\)) subject to random perturbations with a small coupling constant δ. Assume that \({{\rm e}^{-\frac{1}{Ch}} {\text{ < }} \delta \ll h^{\kappa}}\) for constants \({C,\kappa > 0}\) suitably large. Let Σ be the closure of the range of the principal symbol.