Exact Shannon entropies for the multidimensional harmonic states

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...

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Bibliographic Details
Published inarXiv.org
Main Authors Toranzo, I V, Dehesa, J S
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 05.11.2018
Subjects
Physics - Quantum Physics
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Summary: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
ISSN:2331-8422
DOI:10.48550/arxiv.1811.01775