95 citations · 1.1k across the 64 of their papers we have counts for
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Rigorous bounds for Renyi entropies of spherically symmetric potentials
Pablo Sánchez-Moreno, Steeve Zozor, Jesus S. Dehesa
The Rényi and Shannon entropies are information-theoretic measures which have enabled to formulate the position-momentum uncertainty principle in a much more adequate and stringent…
Renyi entropy of the infinite well potential in momentum space and Dirichlet-like trigonometric functionals
Alexander I. Aptekarev, Jesus S. Dehesa, Pablo Sánchez-Moreno +1
The momentum entropic moments and Rényi entropies of a one-dimensional particle in an infinite well potential are found by means of explicit calculations of some Dirichlet-like tri…
Relative Fisher information of discrete classical orthogonal polynomials
Jesus S. Dehesa, Pablo Sánchez-Moreno, Rafael J. Yáñez
The analytic information theory of discrete distributions was initiated in 1998 by C. Knessl, P. Jacquet and S. Szpankowski who addressed the precise evaluation of the Renyi and Sh…
Complexity of multidimensional hydrogenic systems
Jesus S. Dehesa, Sheila López-Rosa, Pablo Sánchez-Moreno +1
The Cramér-Rao, Fisher-Shannon and LMC shape complexity measures have been recently shown to play a relevant role to study the internal disorder of finite many-body systems (e.g.,…
Information-theoretic-based spreading measures of orthogonal polynomials
Jesus S. Dehesa, A. Guerrero, Pablo Sánchez-Moreno
The macroscopic properties of a quantum system strongly depend on the spreading of the physical eigenfunctions (wavefunctions) of its Hamiltonian operador over its confined domain.…
Asymptotics of -norms of Hermite polynomials and Rényi entropy of Rydberg oscillator states
Alexander I. Aptekarev, Jesús S. Dehesa, Pablo Sánchez-Moreno +1
The asymptotics of the weighted -norms of Hermite polynomials, which describes the Rényi entropy of order of the associated quantum oscillator probability density, is de…