Phase-Space Position-Momentum Correlation and Potentials
Solutions to the radial Schr¨odinger equation of a particle in a quantum corral are used to probe how the statistical correlation between the position, and The momentum of the particle depends on the effective potential. The analysis is done via the Wigner function and its Shannon entropy. We show b...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2013-04-01
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| Series: | Entropy |
| Subjects: | |
| Online Access: | http://www.mdpi.com/1099-4300/15/5/1516 |
| _version_ | 1818015006349852672 |
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| author | Robin P. Sagar Humberto G. Laguna |
| author_facet | Robin P. Sagar Humberto G. Laguna |
| author_sort | Robin P. Sagar |
| collection | DOAJ |
| description | Solutions to the radial Schr¨odinger equation of a particle in a quantum corral are used to probe how the statistical correlation between the position, and The momentum of the particle depends on the effective potential. The analysis is done via the Wigner function and its Shannon entropy. We show by comparison to the particle-in-a-box model that the attractive potential increases the magnitude of the correlation, while a repulsive potential decreases the magnitude of this correlation. Varying the magnitude of the repulsive potential yields that the correlation decreases with a stronger repulsive potential. |
| first_indexed | 2024-04-14T06:51:28Z |
| format | Article |
| id | doaj.art-611b3f983def40faada2d7f3f56f375d |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-14T06:51:28Z |
| publishDate | 2013-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-611b3f983def40faada2d7f3f56f375d2022-12-22T02:07:01ZengMDPI AGEntropy1099-43002013-04-011551516152710.3390/e15051516Phase-Space Position-Momentum Correlation and PotentialsRobin P. SagarHumberto G. LagunaSolutions to the radial Schr¨odinger equation of a particle in a quantum corral are used to probe how the statistical correlation between the position, and The momentum of the particle depends on the effective potential. The analysis is done via the Wigner function and its Shannon entropy. We show by comparison to the particle-in-a-box model that the attractive potential increases the magnitude of the correlation, while a repulsive potential decreases the magnitude of this correlation. Varying the magnitude of the repulsive potential yields that the correlation decreases with a stronger repulsive potential.http://www.mdpi.com/1099-4300/15/5/1516Wigner functionposition-momentum correlationlocalization phase-space distribution |
| spellingShingle | Robin P. Sagar Humberto G. Laguna Phase-Space Position-Momentum Correlation and Potentials Entropy Wigner function position-momentum correlation localization phase-space distribution |
| title | Phase-Space Position-Momentum Correlation and Potentials |
| title_full | Phase-Space Position-Momentum Correlation and Potentials |
| title_fullStr | Phase-Space Position-Momentum Correlation and Potentials |
| title_full_unstemmed | Phase-Space Position-Momentum Correlation and Potentials |
| title_short | Phase-Space Position-Momentum Correlation and Potentials |
| title_sort | phase space position momentum correlation and potentials |
| topic | Wigner function position-momentum correlation localization phase-space distribution |
| url | http://www.mdpi.com/1099-4300/15/5/1516 |
| work_keys_str_mv | AT robinpsagar phasespacepositionmomentumcorrelationandpotentials AT humbertoglaguna phasespacepositionmomentumcorrelationandpotentials |