Invariant Distributionally Scrambled Manifolds for an Annihilation Operator
This note proves that the annihilation operator of a quantum harmonic oscillator admits an invariant distributionally ε-scrambled linear manifold for any 0<ε<2. This is a positive answer to Question 1 by Wu and Chen (2013).
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2014/754960 |
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doaj-2f0f90b82dc540bf975e61f9fea4cae72020-11-24T23:30:06ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/754960754960Invariant Distributionally Scrambled Manifolds for an Annihilation OperatorXinxing Wu0School of Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, ChinaThis note proves that the annihilation operator of a quantum harmonic oscillator admits an invariant distributionally ε-scrambled linear manifold for any 0<ε<2. This is a positive answer to Question 1 by Wu and Chen (2013).http://dx.doi.org/10.1155/2014/754960 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Xinxing Wu |
spellingShingle |
Xinxing Wu Invariant Distributionally Scrambled Manifolds for an Annihilation Operator Abstract and Applied Analysis |
author_facet |
Xinxing Wu |
author_sort |
Xinxing Wu |
title |
Invariant Distributionally Scrambled Manifolds for an Annihilation Operator |
title_short |
Invariant Distributionally Scrambled Manifolds for an Annihilation Operator |
title_full |
Invariant Distributionally Scrambled Manifolds for an Annihilation Operator |
title_fullStr |
Invariant Distributionally Scrambled Manifolds for an Annihilation Operator |
title_full_unstemmed |
Invariant Distributionally Scrambled Manifolds for an Annihilation Operator |
title_sort |
invariant distributionally scrambled manifolds for an annihilation operator |
publisher |
Hindawi Limited |
series |
Abstract and Applied Analysis |
issn |
1085-3375 1687-0409 |
publishDate |
2014-01-01 |
description |
This note proves that the annihilation operator of a quantum harmonic oscillator admits an invariant distributionally ε-scrambled linear manifold for any 0<ε<2. This is a positive answer to Question 1 by Wu and Chen (2013). |
url |
http://dx.doi.org/10.1155/2014/754960 |
work_keys_str_mv |
AT xinxingwu invariantdistributionallyscrambledmanifoldsforanannihilationoperator |
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1725542911024562176 |