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Phase-Space Position-Momentum Correlation and Potentials
Departamento de Química, Universidad Autónoma Metropolitana, San Rafael Atlixco No. 186, Iztapalapa, 09340 Mexico D.F., Mexico
* Author to whom correspondence should be addressed.
Received: 14 March 2013; in revised form: 13 April 2013 / Accepted: 16 April 2013 / Published: 25 April 2013
Abstract: 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.
Keywords: Wigner function; position-momentum correlation; localization phase-space distribution
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Cite This Article
MDPI and ACS Style
Laguna, H.G.; Sagar, R.P. Phase-Space Position-Momentum Correlation and Potentials. Entropy 2013, 15, 1516-1527.
Laguna HG, Sagar RP. Phase-Space Position-Momentum Correlation and Potentials. Entropy. 2013; 15(5):1516-1527.
Laguna, Humberto G.; Sagar, Robin P. 2013. "Phase-Space Position-Momentum Correlation and Potentials." Entropy 15, no. 5: 1516-1527.