Decorrelation estimates for some continuous and discrete random Schr{ö}dinger operators in dimension one, without covering condition
Abstract
The purpose of the present work is to establish decorrelation estimates at distinct energies for some random Schr{ö}dinger operator in dimension one. In particular, we establish the result for some random operators on the continuum with alloy-type potential without covering condition assumption. These results are used to give a description of the spectral statistics.
- Publication:
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arXiv e-prints
- Pub Date:
- May 2015
- DOI:
- arXiv:
- arXiv:1505.06112
- Bibcode:
- 2015arXiv150506112S
- Keywords:
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- Mathematical Physics
- E-Print:
- arXiv admin note: substantial text overlap with arXiv:1409.8376