Fisher information and uncertainty relations for potential family |
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Authors: | Clement A Onate Michael C Onyeaju Akpan N Ikot Osarodion Ebomwonyi John O A Idiodi |
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Institution: | 1. Physics Programme, Department of Physical Sciences, Landmark University, Omu-Aran, Nigeria;2. Theoretical Physics Group, Physics Department, University of Port Harcourt, Nigeria;3. Department of Physics, University of Benin, Benin City, Nigeria |
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Abstract: | An approximate bound state solution of the three-dimensional Schrödinger equation for potential family was obtained together with the corresponding wave function, after which the Fisher information for a potential family was explicitly obtained via the methodology of expectation value and radial expectation value. Some uncertainty relations that are closely related to Heisenberg-like uncertainty were obtained and numerical results were generated to justify the relations and inequalities. Finally, we have numerically studied the Fisher information for two special cases from the result of the potential family that has applications to prototype systems. It was deduced that the Fisher information of the potential family and that of the two special cases exhibit similar features. |
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Keywords: | bound state solutions expectation value Fisher information potential term uncertainty relations |
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