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(Q4733975)
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English
almost Mathieu operator
operator that arises in the study of the quantum Hall effect
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Statements
instance of
self-adjoint operator
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defining formula
[
H
ω
λ
,
α
u
]
(
n
)
=
u
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n
+
1
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+
u
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n
−
1
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+
2
λ
cos
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2
π
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ω
+
n
α
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)
u
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n
)
,
{\displaystyle [H_{\omega }^{\lambda ,\alpha }u](n)=u(n+1)+u(n-1)+2\lambda \cos(2\pi (\omega +n\alpha ))u(n),}
1 reference
imported from Wikimedia project
English Wikipedia
maintained by WikiProject
WikiProject Mathematics
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Identifiers
Freebase ID
/m/03yf_rx
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Microsoft Academic ID
203893716
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Sitelinks
Wikipedia
(2 entries)
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enwiki
Almost Mathieu operator
jawiki
概マシュー作用素
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=u(n+1)+u(n-1)+2\lambda \cos(2\pi (\omega +n\alpha ))u(n),}](https://wikimedia.org/api/rest_v1/media/math/render/svg/77bf7adbcfd6f96f7cea6a247bd4cab89a6f0696)
