Premium
Complexity analysis of two families of orthogonal functions
Author(s) -
Ghosh Piu,
Nath Debraj
Publication year - 2019
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.25964
Subject(s) - isospectral , orthogonal polynomials , harmonic oscillator , mathematics , harmonic , pure mathematics , orthogonal functions , mathematical physics , physics , quantum mechanics , mathematical analysis
We study the shape LMC (López‐Ruiz, Mancini and Calvet), Fisher‐Shannon (FS) and Cramér‐Rao (CR) complexities of two families of orthogonal functions associated with the solutions of isospectral deformations of the Pöschl‐Teller and Harmonic oscillator potentials. We have compared the behavior of these complexities for the orthogonal functions with the complexities associated with Pöschl‐Teller and Harmonic oscillator potentials whose solutions are given in terms of the classical orthogonal polynomials. All these complexities are discussed in terms of the quantum number n and isospectrality parameter λ .