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Density of states and level statistics for 1d Schroedinger operators Nakano, Fumihiko
Description
We consider the 1d Schroedinger operator with random potential decaying of order \(\alpha\). The results are : (1) the fluctuation of density of states with different behavior depending on \(\alpha\), (2) the level statistics asymptotically obeys clock, \(Sine_{\beta}\), and Poisson processes for super-critical, critical, and sub-critical cases, respectively.
Item Metadata
Title |
Density of states and level statistics for 1d Schroedinger operators
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-04-13T16:35
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Description |
We consider the 1d Schroedinger operator with random potential decaying of
order \(\alpha\).
The results are :
(1) the fluctuation of density of states with different behavior depending
on \(\alpha\),
(2) the level statistics asymptotically obeys clock, \(Sine_{\beta}\), and
Poisson processes for super-critical, critical, and sub-critical cases,
respectively.
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Extent |
47 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Gakushuin University
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Series | |
Date Available |
2017-02-07
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0319129
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International