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arXiv · 1711.01420

Fisher information in confined hydrogen-like ions

Neetik Mukherjee·Sangita Majumdar·Amlan K. Roy
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Abstract

Fisher information (I) is investigated for confined hydrogen atom (CHA)-like systems in conjugate $r$ and $p$ spaces. A comparative study between CHA and free H atom (with respect to $I$) is pursued. In many aspects, inferences in CHA are significantly different from free counterpart; that includes its dependence on $n, l, m$. The role of atomic number and atomic radius is discussed. Further, a detailed systematic result of $I$ with respect to variation of confinement radius $r_c$ is presented, with particular emphasis on \emph{non-zero}-$(l,m)$ states. Several new interesting observations are recorded. Most of these results are of benchmark quality and presented for the first time.

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Neetik Mukherjee, Sangita Majumdar, Amlan K. Roy. 2017-11-04. Fisher information in confined hydrogen-like ions. https://doi.org/10.1016/j.cplett.2017.11.059

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