The spreading properties of the stationary states of the quantum multidimensional harmonic
oscillator are analytically discussed by means of the main dispersion measures (radial …

The particle in a symmetrical squared tangent potential well is studied by examining its
Shannon information entropy and standard deviations. The position and momentum …

Statistical measures of complexity hold significant potential for applications in D-dimensional
finite fermion systems, spanning from the quantification of the internal disorder of atoms and …

The Shannon information entropy is investigated within the nonrelativistic framework. The
Kratzer potential is considered as the interaction and the problem is solved in a quasi-exact …

The connection problem is considered in a hypergeometric function framework for (i) the two
most general families of polynomials belonging to the Askey scheme (Wilson and Racah) …

In this research article, a new product formula of Jacobi polynomials of certain parameters is
established. This formula is expressed in terms of a terminating hypergeometric function of …

We consider the solution of one dimensional Schrödinger Dunkl equation for energies and
eigenfunctions. Then we provide analytical expressions for various information theoretic …

The quantification of the spreading of the orthogonal polynomials pn (x) can be investigated
by means of the Rényi entropies R q [ρ], q being a positive integer number, of the associated …

In this chapter, we recall known results on connection and linearization coefficients of
classical orthogonal polynomials on the real line. We are interested in reviewing here some …

In this work, we explore the (inequality-type) properties of the monotone complexity-like
measures of the internal complexity (disorder) of multidimensional non-relativistic electron …