Quantum-information entropies of the eigenstates and the coherent state of the Pöschl-Teller potential

Entropic functionals of Laguerre polynomials and complexity properties of the half‐line Coulomb potential

“…This line of inquiry has recently led to numerous researchers to calculate the measures of information for various quantummechanical potentials of a specific analytic form [1][2][3][4][5][6][7][8][9] as well as for hydrogenic systems with standard and nonstandard dimensionalities [3,8,[10][11][12][13], circular membranes [14], confined systems [15,16], and many-electron systems [17][18][19][20][21].…”

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ABSTRACT:The stationary states of the half-line Coulomb potential are described by quantum-mechanical wavefunctions, which are controlled by the Laguerre polynomials L (1) n (x). Here, we first calculate the qth-order frequency or entropic moments of this quantum system, which is controlled by some entropic functionals of the Laguerre polynomials.

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Information Entropy of Nanostructure systems

“…According to Density Function theory, a many fermion system can be completely characterized by the single particle distribution density, which is is that an increase of S(mom) corresponds to a decrease of S(pos) and vice-versa, which indicates that a diffuse density distribution ρ(p) in momentum space is associated with a localized density distribution ρ(r) in configuration space [3][4][5][6][7][8][9][10][11][12]. In this paper, we investigate the use of the position space information entropy as an indicator of the entanglement for nanostructure system.…”

Information entropy of conditionally exactly solvable potentials

“…Apart from their intrinsic interest the EUR (1) or the information entropies (2) have been used in different contexts e.g, to study squeezing [3], localization and fractional revivals [4,5] etc. However it is not always easy to exactly evaluate Shannon entropies (2) or the EUR (1).…”