Fisher and Shannon information entropies for a noncentral inversely quadratic plus exponential Mie-type potential  

作　　者：Ituen B Okon Cecilia N Isonguyo Akaninyene D Antia Akpan N Ikot Oyebola O Popoola 

机构地区：[1]Theoretical Physics Group,Department of Physics,University of Uyo,Uyo,Akwa Ibom State,Nigeria [2]Department of Physics,University of South Africa,Pretoria,0002,South Africa [3]Theoretical Physics Group,Department of Physics,University of Ibadan,Oyo State,Nigeria

出　　处：《Communications in Theoretical Physics》2020年第6期43-56,共14页理论物理通讯（英文版）

摘　　要：In this work,we determine the Fisher and Shannon entropies,the expectation values and the squeeze state for a noncentral inversely quadratic plus exponential Mie-type potential analytically.The proposed potential is solved under the Schr?dinger equation using a special Greene Aldrich approximation to the centrifugal term to obtain a normalised wave function within the framework of the Nikiforov–Uvarov method.Numerical results are obtained for different screening parameters:α?=?0.1,0.12 and 0.13 for varying real constant parameter(B).The numerical solutions are obtained only for ground state.The numerical results of Fisher entropy both for position and momentum spaces are in good agreement with existing literature.The normalisation constant,wave function,and probability density plots are carried out using a well designed Mathematica algorithm.The Fourier transform of position space entropy gives the momentum space entropy.

关 键 词：Fisher and Shannon entropies Schr?dinger equation expectation values Nikiforov–Uvarov method 

分 类 号：O413.1[理学—理论物理]