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).

Bibliographic Details
Main Author: Xinxing Wu
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/754960
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spelling 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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