Exact Shannon entropies for the multidimensional harmonic states

Abstract

In this work we determine and discuss the entropic uncertainty measures of Shannon type for all the discrete stationary states of the multidimensional harmonic systems directly in terms of the states' hyperquantum numbers, the dimensionality and the oscillator strength. We have found that these entropies have a monotonically increasing behavior when both the dimensionality and the population of the states are increasing

arXiv commentAccepted and Published in Physica A

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• Shannon information entropy for a quantum nonlinear oscillator on a space of non-constant curvature
• Quantum information measures of the Dirichlet and Neumann hyperspherical dots
• Shannon Entropic Entanglement Criterion in the Simple Harmonic Oscillator