scholarly journals Theory of the Robin quantum wall in a linear potential. I. Energy spectrum, polarization and quantum-information measures

2016 ◽  
Vol 528 (11-12) ◽  
pp. 865-881 ◽  
Author(s):  
O. Olendski
Keyword(s):  
Quantum Information ◽  
Energy Spectrum ◽  
Linear Potential ◽  
Information Measures ◽  
Quantum Information Measures

Quantum information measures of infinite spherical well

2018 ◽  
Vol 33 (16) ◽  
pp. 1850088 ◽  
Author(s):  
Ye-Jiao Shi ◽  
Guo-Hua Sun ◽  
Farida Tahir ◽  
A. I. Ahmadov ◽  
Bing He ◽  
...  
Keyword(s):  
Wave Function ◽  
Quantum Information ◽  
Information Measures ◽  
Entropy Formula ◽  
Quantum Numbers ◽  
Probability Densities ◽  
Fixed Radius ◽  
Analytical Result ◽  
Confined System ◽  
Quantum Information Measures

In this work, we study the Shannon information entropies [Formula: see text] and [Formula: see text] of an infinite spherical well. The Shannon entropy [Formula: see text] is calculated numerically in terms of the analytical result of the wave function in momentum space. Some typical features of the position and momentum probability densities [Formula: see text] and [Formula: see text] as well as the information entropy densities [Formula: see text] and [Formula: see text] are demonstrated. We find that the position entropy [Formula: see text] increases with the radius a of the spherical well for given quantum numbers l, m and n. It is interesting to note that the position entropy [Formula: see text] decreases with the quantum numbers l and n for a fixed radius a and quantum number m. The position entropy [Formula: see text] is almost independent of the quantum numbers l, m and n. The momentum entropy [Formula: see text] first increases and then decreases with respect to the radius a. We also note that the [Formula: see text] increases with the radius a and finally arrives at a constant. In addition, the Bialynicki–Birula–Mycielski (BBM) inequality is verified and also hold for this confined system.

scholarly journals Rényi generalizations of quantum information measures

2015 ◽  
Vol 91 (2) ◽  
Author(s):  
Mario Berta ◽  
Kaushik P. Seshadreesan ◽  
Mark M. Wilde
Keyword(s):  
Quantum Information ◽  
Information Measures ◽  
Quantum Information Measures

scholarly journals Construction of potential functions associated with a given energy spectrum — An inverse problem

2020 ◽  
Vol 35 (20) ◽  
pp. 2050104
Author(s):  
A. D. Alhaidari
Keyword(s):  
Energy Spectrum ◽  
Three Dimensional ◽  
Logarithmic Potential ◽  
Potential Functions ◽  
Physical Parameters ◽  
Linear Potential ◽  
Hahn Polynomial ◽  
Exactly Solvable ◽  
The One ◽  
Solvable Problems

Using a formulation of quantum mechanics based on orthogonal polynomials in the energy and physical parameters, we present a method that gives the class of potential functions for exactly solvable problems corresponding to a given energy spectrum. In this work, we study the class of problems associated with the continuous dual Hahn polynomial. These include the one-dimensional logarithmic potential and the three-dimensional Coulomb plus linear potential.

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