In this study, we have tried to use the representation achieved for the SO(2, 2) group by using the factorization method to show the properties of the Shannon entropy information.… Click to show full abstract
In this study, we have tried to use the representation achieved for the SO(2, 2) group by using the factorization method to show the properties of the Shannon entropy information. Subsequently, some features of the probability densities for the SO(2, 2) group, as well as some numerical results for the Shannon entropy in position space and in corresponding momentum space and the relationship of the uncertainty between these two (BBM inequality), are extracted.
               
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