Statistical Correlations of the N-particle Moshinsky Model
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 entr...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2015-03-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/17/4/1882 |
| _version_ | 1828364847102820352 |
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| author | Hsuan Tung Peng Yew Kam Ho |
| author_facet | Hsuan Tung Peng Yew Kam Ho |
| author_sort | Hsuan Tung Peng |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-14T05:21:50Z |
| format | Article |
| id | doaj.art-a351794f275445aa8b49eefd02a0634e |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-14T05:21:50Z |
| publishDate | 2015-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-a351794f275445aa8b49eefd02a0634e2022-12-22T02:10:09ZengMDPI AGEntropy1099-43002015-03-011741882189510.3390/e17041882e17041882Statistical Correlations of the N-particle Moshinsky ModelHsuan Tung Peng0Yew Kam Ho1Institute of Atomic and Molecular Sciences, Academia Sinica, Taipei 10617, TaiwanInstitute of Atomic and Molecular Sciences, Academia Sinica, Taipei 10617, TaiwanWe 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.http://www.mdpi.com/1099-4300/17/4/1882Moshinsky modelShannon entropymutual informationuncertainty principle |
| spellingShingle | Hsuan Tung Peng Yew Kam Ho Statistical Correlations of the N-particle Moshinsky Model Entropy Moshinsky model Shannon entropy mutual information uncertainty principle |
| title | Statistical Correlations of the N-particle Moshinsky Model |
| title_full | Statistical Correlations of the N-particle Moshinsky Model |
| title_fullStr | Statistical Correlations of the N-particle Moshinsky Model |
| title_full_unstemmed | Statistical Correlations of the N-particle Moshinsky Model |
| title_short | Statistical Correlations of the N-particle Moshinsky Model |
| title_sort | statistical correlations of the n particle moshinsky model |
| topic | Moshinsky model Shannon entropy mutual information uncertainty principle |
| url | http://www.mdpi.com/1099-4300/17/4/1882 |
| work_keys_str_mv | AT hsuantungpeng statisticalcorrelationsofthenparticlemoshinskymodel AT yewkamho statisticalcorrelationsofthenparticlemoshinskymodel |