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Entropy 2015, 17(4), 1882-1895; doi:10.3390/e17041882

Statistical Correlations of the N-particle Moshinsky Model

1
Institute of Atomic and Molecular Sciences, Academia Sinica, Taipei 10617, Taiwan
2
Department of Physics, National Taiwan University, Taipei 10617, Taiwan
*
Author to whom correspondence should be addressed.
Academic Editors: Demosthenes Ellinas, Giorgio Kaniadakis, Jiannis Pachos and Antonio M. Scarfone
Received: 17 February 2015 / Revised: 27 March 2015 / Accepted: 27 March 2015 / Published: 31 March 2015
(This article belongs to the Special Issue Quantum Computation and Information: Multi-Particle Aspects)
View Full-Text   |   Download PDF [2145 KB, uploaded 31 March 2015]   |  

Abstract

We study the correlation of the ground state of an N-particle Moshinsky model by computing the Shannon entropy in both position and momentum spaces. We have derived the Shannon entropy and mutual information with analytical forms of such an N-particle Moshinsky model, and this helps us test the entropic uncertainty principle. The Shannon entropy in position space decreases as interaction strength increases. However, Shannon entropy in momentum space has the opposite trend. Shannon entropy of the whole system satisfies the equality of entropic uncertainty principle. Our results also indicate that, independent of the sizes of the two subsystems, the mutual information increases monotonically as the interaction strength increases. View Full-Text
Keywords: Moshinsky model; Shannon entropy; mutual information; uncertainty principle Moshinsky model; Shannon entropy; mutual information; uncertainty principle
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Peng, H.T.; Ho, Y.K. Statistical Correlations of the N-particle Moshinsky Model. Entropy 2015, 17, 1882-1895.

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