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SHANNON ENTROPY OF THE WIGNER FUNCTION AND POSITION-MOMENTUM CORRELATION IN MODEL SYSTEMS.
- Source :
-
International Journal of Quantum Information . Oct2010, Vol. 8 Issue 7, p1089-1100. 12p. 4 Graphs. - Publication Year :
- 2010
-
Abstract
- Shannon entropies of the Wigner function are calculated for ground and excited stationary states of the Particle-In-A-Box and Harmonic Oscillator model systems and examined as a measure of the localization of the phase-space distribution. We show that their behavior is consistent with that of the sum of the position and momentum space entropies as a function of quantum number. Position-momentum correlation is then analyzed in these systems by defining mutual information between position and momentum variables. This mutual information yields non-zero values, in contrast to the quantum covariance, and increases with quantum number. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02197499
- Volume :
- 8
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- International Journal of Quantum Information
- Publication Type :
- Academic Journal
- Accession number :
- 58098456
- Full Text :
- https://doi.org/10.1142/S0219749910006484