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Commentarii Mathematici Helvetici
Article . 1993 . Peer-reviewed
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Commentarii Mathematici Helvetici
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https://dx.doi.org/10.5169/sea...
Article . 1993
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Density of states in spectral geometry

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1993Embargo end date: 01 Jan 1993 Germany English Publisher:European Mathematical Society - EMS - Publishing House GmbHJournal:Commentarii Mathematici Helvetici, volume 68, pages 480-493 (issn: 0010-2571, eissn: 1420-8946, Copyright policy )
Authors: Toshikazu Sunada; Toshikazu Sunada; Toshiaki Adachi; Toshiaki Adachi;

doi: 10.1007/bf02565831 , 10.5169/seals-51780

Density of states in spectral geometry

Abstract

It is well known that the concept of integrated density of states was introduced by physicists in quantum theory of solids. In the paper under review a geometrical formalization of this notion is proposed and for the particular case of the manifolds with compact quotient some necessary and sufficient conditions for its existence are pointed out.

Country
Germany
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Keywords

Schrödinger operator, 510.mathematics, compact quotient, integrated density of states, Spectral problems; spectral geometry; scattering theory on manifolds, Article

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
20
Average
Top 10%
Average
Green
gold