Quantum Entanglement and Shannon Information Entropy for the Doubly Excited Resonance State in Positronium Negative Ion
Abstract
:1. Introduction
2. Theoretical Method
2.1. The Stabilization Method
2.2. Von Neumann and Linear Entropies
2.3. Shannon Information Entropy
3. Results and Discussion
3.1. Resonance Energy, Width and Wave Function
Wave function | (a.u.) | (a.u.) | |||
---|---|---|---|---|---|
Reference [46] | −0.07603044 | 0.00004303 | |||
Section I | −0.07603006 | 0.00004310 | 0.9999715 | 0.516517 | 1.684376 |
Section II | −0.07602959 | 0.00004421 | 0.9997358 | 0.516568 | 1.684917 |
Section III | −0.07602008 | 0.00008226 | 0.9831704 | 0.517067 | 1.686998 |
3.2. von Neumann Entropy and Linear Entropy
3.3. Shannon Entropy for Doubly Excited State of Ps
4. Conclusions
Acknowledgments
Author Contributions
Conflicts of Interest
References
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Lin, C.-H.; Ho, Y.K. Quantum Entanglement and Shannon Information Entropy for the Doubly Excited Resonance State in Positronium Negative Ion. Atoms 2015, 3, 422-432. https://doi.org/10.3390/atoms3030422
Lin C-H, Ho YK. Quantum Entanglement and Shannon Information Entropy for the Doubly Excited Resonance State in Positronium Negative Ion. Atoms. 2015; 3(3):422-432. https://doi.org/10.3390/atoms3030422
Chicago/Turabian StyleLin, Chien-Hao, and Yew Kam Ho. 2015. "Quantum Entanglement and Shannon Information Entropy for the Doubly Excited Resonance State in Positronium Negative Ion" Atoms 3, no. 3: 422-432. https://doi.org/10.3390/atoms3030422