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Title
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Fisher information entropies and the strength of an oscillator under a mixed hyperbolic Pöschl–Teller potential function
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Type
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JournalPaper
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Keywords
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Fisher information -hyperbolic Pöschl–Teller potential function
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Abstract
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The Fisher information-theoretic measurement and the oscillator strength are studied with a mixed hyperbolic Po¨schl–Teller potential (MHPTP). Using the total energy eigenvalue equation obtained via the super-symmetric WKB approach as well as the total wave function. We obtained the oscillator strength for the atomic transitions 1s 2p and 1s 3p, where the strength length decreased with increasing potential screening parameters. Also, the Fisher information entropies for both position and momentum spaces are obtained numerically. We studied the correlation between potential parameters and the energy spectra graphically. Our results for the information-theoretic measures obey the Fisher’s uncertainty product and the Cramer–Rao inequality in position space. The analytical result for the Ndimensional energy eigenvalue obtained by the super-symmetric WKB approach is the same as the result obtained by a different analytic approach in the existing literature.
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Researchers
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C Onate (Not In First Six Researchers), I Njoku (Fifth Researcher), Arezu Jahanshir (Fourth Researcher), I Okon (Third Researcher), O Osafile (Second Researcher), E Omugbe (First Researcher)
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