pISSN 0374-4914 eISSN 2289-0041

## Research Paper

New Phys.: Sae Mulli 2020; 70: 778-787

Published online September 29, 2020 https://doi.org/10.3938/NPSM.70.778

## Quantum Information Entropy and Entropy Squeezing of Isospectral Modified Hylleraas Plus Exponential Rosen Morse Potential and Isospectral Eckart Potential

Pooja THAKUR*1, Rama GUPTA1, Aarti SHARMA2, Anil KUMAR3

1Department of Physics, D. A. V. University, Jalandhar-144 012, Punjab, India

2Department of Physics, SGGS Khalsa College (Panjab University), Mahilpur-146 105, Punjab, India
3Department of Physics, JC DAV College (Panjab University), Dasuya-144 205, Punjab, India

Correspondence to:poojaphy19@gmail.com

Received: March 30, 2020; Revised: July 24, 2020; Accepted: July 29, 2020

### Abstract

We have numerically evaluated the position space and momentum space information entropy of the isospectral Modified Hylleraas plus exponential Rosen Morse potential and established that each level can be re-arranged as a function of the deformation parameter. The information densities of this potential have been graphically demonstrated and their properties thoroughly analyzed. An asymmetric shape dependence on the values of quantum number $(n, l)$ is observed for the position space information densities. The characteristic features of the information entropy in position and momentum space have been analyzed, and the lower bound of the sum of the entropies, expressed by using the Bialynicki-Birula and Mycielski inequality is satisfied. Compared to undeformed potential exhibiting squeezing phenomena in momentum space only the information entropy squeezing has been realized for position space, as well as momentum space, as a function of the deformation parameter with the choice of the same set of parameters. Interestingly, squeezed coherent states are obtained for the isospectral Eckart potential.

Keywords: Quantum information entropy, BBM inequality, Isospectral hamiltonian approach, Entropy squeezing