Linear chaos in the quantum harmonic oscillator |
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| Authors: | Xinxing Wu Peiyong Zhu |
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| Institution: | 1. School of Mathematics, University of Electronic Science and Technology of China, Chengdu, 611731, China
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| Abstract: | In this note, it is proved that for the annihilation operator B of the unforced quantum harmonic oscillator, B n is mixing and generically δ-chaotic with any 0 < δ < 2 for each positive integer n. Besides, by using the result in Wu X and Zhu P, J. Phys. A: Math. Theor., 2011, 44: 505101], the authors obtain that the principal measure of B n is equal to 1 for each positive integer n. |
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| Keywords: | Annihilation operator Devaney chaos generical 5-chaos mixing principal measure |
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