Information Entropy of conditionally exactly solvable potentials

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.

References in corpus (4)

• Infinitely many shape invariant potentials and new orthogonal polynomials
• Exceptional orthogonal polynomials, exactly solvable potentials and supersymmetry
• Exceptional orthogonal polynomials and the Darboux transformation
• Spreading lengths of Hermite polynomials

Cited by in corpus (10)

• Rational extensions of the quantum harmonic oscillator and exceptional Hermite polynomials
• A conjecture on Exceptional Orthogonal Polynomials
• Group theoretic approach to rationally extended shape invariant potentials
• Infinite families of (non)-Hermitian Hamiltonians associated with exceptional $X_m$ Jacobi polynomials
• A class of exactly solvable rationally extended non-central potentials in Two and Three Dimensions
• DARBOUX partners of pseudoscalar Dirac potentials associated with exceptional orthogonal polynomials
• A class of exactly solvable rationally extended Calogero-Wolfes type 3-body problems
• The minimal length and the Shannon entropic uncertainty relation
• Algebraic calculations for spectrum of superintegrable system from exceptional orthogonal polynomials
• Quasi-Hermitian Hamiltonians associated with exceptional orthogonal polynomials