Information Entropy of conditionally exactly solvable potentials

TL;DR

This paper calculates the Shannon entropy for specific quantum potentials related to harmonic oscillators, using exceptional orthogonal polynomials, and tests the BBM inequality for these states.

Contribution

It provides new entropy calculations for conditionally exactly solvable potentials involving exceptional orthogonal polynomials, extending quantum information measures.

Findings

Shannon entropy values for these potentials are computed.

The BBM inequality is validated for multiple states.

Results enhance understanding of quantum information in solvable models.

Abstract

We evaluate Shannon entropy for the position and momentum eigenstates of some conditionally exactly solvable potentials which are isospectral to harmonic oscillator and whose solutions are given in terms of exceptional orthogonal polynomials. The Bialynicki-Birula-Mycielski (BBM) inequality has also been tested for a number of states.