Fluctuation of Density of States for 1d Schrödinger Operators

Fumihiko Nakano

doi:10.1007/s10955-017-1728-8

Fluctuation of Density of States for 1d Schrödinger Operators

Fumihiko Nakano

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

We consider the 1d Schrödinger operator with random decaying potential and compute the 2nd term asymptotics of the density of states, which shows substantial differences between the cases α>12, α<12 and α=12.

Original language	English
Pages (from-to)	1393-1404
Number of pages	12
Journal	Journal of Statistical Physics
Volume	166
Issue number	6
DOIs	https://doi.org/10.1007/s10955-017-1728-8
Publication status	Published - 2017 Mar 1
Externally published	Yes

Keywords

Global fluctuation
Random decaying potentials
Schrödinger operators

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s10955-017-1728-8

Cite this

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title = "Fluctuation of Density of States for 1d Schr{\"o}dinger Operators",

abstract = "We consider the 1d Schr{\"o}dinger operator with random decaying potential and compute the 2nd term asymptotics of the density of states, which shows substantial differences between the cases α>12, α<12 and α=12.",

keywords = "Global fluctuation, Random decaying potentials, Schr{\"o}dinger operators",

author = "Fumihiko Nakano",

note = "Publisher Copyright: {\textcopyright} 2017, Springer Science+Business Media New York.",

year = "2017",

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doi = "10.1007/s10955-017-1728-8",

language = "English",

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N2 - We consider the 1d Schrödinger operator with random decaying potential and compute the 2nd term asymptotics of the density of states, which shows substantial differences between the cases α>12, α<12 and α=12.

AB - We consider the 1d Schrödinger operator with random decaying potential and compute the 2nd term asymptotics of the density of states, which shows substantial differences between the cases α>12, α<12 and α=12.

KW - Global fluctuation

KW - Random decaying potentials

KW - Schrödinger operators

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EP - 1404

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

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Fluctuation of Density of States for 1d Schrödinger Operators

Abstract

Keywords

ASJC Scopus subject areas

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