scholarly journals Quantum Information Measures of the One-Dimensional Robin Quantum Well

2018 ◽  
Vol 530 (8) ◽  
pp. 1700324 ◽  
Author(s):  
Oleg Olendski
Keyword(s):  
Quantum Information ◽  
Quantum Well ◽  
One Dimensional ◽  
Information Measures ◽  
The One ◽  
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.

Particle-hole pair and beelectron states in ZnO/(Zn,Mg)O quantum wells and Dirac materials.

2015 ◽  
Vol 10 (1) ◽  
pp. 2583-2604
Author(s):  
Lyubov E. Lokot
Keyword(s):  
Quantum Well ◽  
Charge Density ◽  
Heavy Hole ◽  
Wave Functions ◽  
One Dimensional ◽  
Exchange Correlation ◽  
Hartree Fock ◽  
Exchange Correlation Potential ◽  
Correlation Potential ◽  
The One

In this paper a theoretical studies of the space separation of electron and hole wave functions in the quantum well ZnO/Mg(0.27)Zn(0.73)O are presented. For this aim the self-consistent solution of the Schrödinger equations for electrons and holes and the Poisson equations at the presence of spatially varying quantum well potential due to the piezoelectric effect and local exchange-correlation potential is found. The one-dimensional Poisson equation contains the Hartree potential which includes the one-dimensional charge density for electrons and holes along the polarization field distribution. The three-dimensional Poisson equation contains besides the one-dimensional charge density for electrons and holes the exchange-correlation potential which is built on convolutions of a plane-wave part of wave functions in addition. The shifts of the Hartree valence band spectrums and the conduction band spectrum with respect to the flat band spectrums as well as the Hartree-Fock band spectrums with respect to the Hartree ones are found. An overlap integrals of the wave functions of holes and electron with taking into account besides the piezoelectric effects the exchange-correlation effects in addition is greater than an overlap integral of Hartree ones. The Hartree particles distribute greater on edges of quantum well than Hartree-Fock particles. It is found that an effective mass of heavy hole of Mg(0.27)Zn(0.73)O under biaxial strain is greater than an effective-mass of heavy hole of ZnO. It is calculated that an electron mass is less than a hole mass. It is found that the Bohr radius is grater than the localization range particle-hole pair, and the excitons may be spontaneously created.Schrödinger equation for pair of two massless Dirac particles when magnetic field is applied in Landau gauge is solved exactly. In this case the separation of center of mass and relative motion is obtained. Landau quantization $\epsilon=\pm\,B\sqrt{l}$ for pair of two Majorana fermions coupled via a Coulomb potential from massless chiral Dirac equation in cylindric coordinate is found. The root ambiguity in energy spectrum leads into Landau quantization for beelectron, when the states in which the one simultaneously exists are allowed. The tachyon solution with imaginary energy in Cooper problem ($\epsilon^{2}<0$) is found.

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

Numerical Simulation of AlxGa1-XN/GaN Hetero Junction Quantum Well by AMPS-1D

2011 ◽  
Vol 282-283 ◽  
pp. 518-521
Author(s):  
Kai Ju Zhang ◽  
B. Wan
Keyword(s):  
Numerical Simulation ◽  
Quantum Well ◽  
The Other ◽  
Simulation Program ◽  
One Dimensional ◽  
Photonic Structures ◽  
Other Hand ◽  
Dimensional Simulation ◽  
The One

In this work, the one dimensional simulation program called analysis of microelectronic and photonic structures (AMPS-1D) is used to study the performances of depth of AlxGa1-xN/GaN heterojunction quantum well. The calculated results of AMPS-1D software show that the effect of different Al composition on the depth of AlxGa1-xN/GaN heterojunction quantum well is slight. On the other hand, the effect of different doped concentration in AlxGa1-xN is obvious.

Resonance of the one-dimensional electron transmission above a quantum well with dissipation

1990 ◽  
Vol 41 (6) ◽  
pp. 3513-3516 ◽  
Author(s):  
W. Cai ◽  
P. Hu ◽  
T. F. Zheng ◽  
B. Yudanin ◽  
M. Lax
Keyword(s):  
Quantum Well ◽  
Dimensional Electron ◽  
One Dimensional ◽  
Electron Transmission ◽  
The One

EFFECTS OF DIELECTRIC MISMATCH ON THE PLASMONS IN QUANTUM WELL SYSTEMS

2003 ◽  
Vol 17 (31n32) ◽  
pp. 6073-6083
Author(s):  
XI-LI ZHANG ◽  
XUE-HUA WANG ◽  
XIN-HAI LIU ◽  
BEN-YUAN GU
Keyword(s):  
Quantum Well ◽  
Random Phase Approximation ◽  
Random Phase ◽  
Field Method ◽  
Single Quantum Well ◽  
One Dimensional ◽  
Self Consistent Field ◽  
The One ◽  
Plasmon Modes ◽  
Dielectric Mismatch

In the framework of random-phase approximation theory and applying the self-consistent field method, we study the properties of collective charge density excitations in single quantum well in consideration of dielectric mismatch. We analytically give the general solution of the image potential to the one dimensional Green's function. Our numerical results demonstrate that the dielectric mismatch between the barrier and well materials significantly changes the frequency of the intra- and inter-subband plasmon modes in contrast with dielectric match. We reasonably conclude that the image potential affects the intra- and inter-subband plasmon modes in a different way.

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