Eur. Phys. J. Plus (2017) 132: 498
https://doi.org/10.1140/epjp/i2017-11764-5

Regular Article

Investigation of the information entropy for the X(3) model

Physics Department, Shahrood University of Technology, Shahrood, Iran

^* e-mail: motahareh.alimohammadi@gmail.com

Received: 31 July 2017
Accepted: 27 October 2017
Published online: 29 November 2017

Abstract

In this work, we have studied the information entropy for the Bohr-Mottelson Hamiltonian relating to the X(3) model. For this purpose, first the eigenvalues as well as eigenstates are determined through solving the relevant wave equation. Then, the information entropy density and its quantity for the obtained wave functions are determined. Moreover, uncertainty for both the shape variable and momentum are specified. Furthermore, the uncertainty principle is investigated for the nuclei studied by the X(3) model.