- Conclusion.
We studied the characteristic Shannon entropy and Fisher information for
the screened Kratzer potential model in both the position and momentum
spaces for ground state and first excited state in one dimension. From
the numerical result, we observed negative value in the ground state for
the Shannon entropy which is an implication of a high localization.
Also, numerical values in the position space show a decreasing position
that was complemented with an increasing position space and their sum
validated the BBM entropic relation for the potential model. For Fisher
information, the entropic uncertainty relation was validated and its
behaviour showed an increase in the position space followed by a
decrease in the momentum space. This increasing Fisher information is a
consequence of an increasing localization and vice versa. Analytical
expression of the expectation values in position and momentum were
presented. The Heinsberg relation was validated and squeezing phenomena
were also observed for certain values of the screening parameter.