Invariant distributionally scrambled manifolds for an annihilation operator (Q1724904)

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scientific article; zbMATH DE number 7023023
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Invariant distributionally scrambled manifolds for an annihilation operator
scientific article; zbMATH DE number 7023023

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    Invariant distributionally scrambled manifolds for an annihilation operator (English)
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    14 February 2019
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    Summary: This note proves that the annihilation operator of a quantum harmonic oscillator admits an invariant distributionally \(\varepsilon\)-scrambled linear manifold for any \(0 < \varepsilon < 2\). This is a positive answer to Question 1 by the author and \textit{G. Chen} [Appl. Math. Lett. 26, No. 12, 1134--1140 (2013; Zbl 1370.37073)].
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