The Moreau envelope function and proximal mapping in the sense of the Bregman distance

2012 ◽  
Vol 75 (3) ◽  
pp. 1385-1399 ◽  
Author(s):  
Chao Kan ◽  
Wen Song
Keyword(s):  
Envelope Function ◽  
Bregman Distance ◽  
Moreau Envelope ◽  
Proximal Mapping

scholarly journals Self-consistent procedure including envelope function normalization for full-zone Schrödinger-Poisson problems with transmitting boundary conditions

2018 ◽  
Vol 124 (20) ◽  
pp. 204501 ◽  
Author(s):  
Devin Verreck ◽  
Anne S. Verhulst ◽  
Maarten L. Van de Put ◽  
Bart Sorée ◽  
Wim Magnus ◽  
...  
Keyword(s):  
Boundary Conditions ◽  
Envelope Function ◽  
Self Consistent ◽  
Transmitting Boundary

scholarly journals Долинно-орбитальное взаимодействие в германии, легированном донорами V группы: количественный анализ

2021 ◽  
Vol 55 (10) ◽  
pp. 901
Author(s):  
А.А. Ревин ◽  
А.М. Михайлова ◽  
А.А. Конаков ◽  
В.В. Цыпленков ◽  
В.Н. Шастин
Keyword(s):  
Short Range ◽  
Ritz Method ◽  
Orbit Interaction ◽  
Envelope Function ◽  
Triplet States ◽  
Short Range Potential ◽  
Singlet And Triplet States ◽  
Short Range Part ◽  
Range Part ◽  
Envelope Functions

In the framework of the envelope function approximation, the wave functions of electrons localized at shallow donors P, As, Sb in Ge are calculated taking into account the valley-orbit coupling caused by the donor short-range potential. It is proposed an approach that makes it possible to include inter-valley mixing in the equation for a multi-component envelope function. The calculation of the effects of the valley-orbit interaction was carried out according to the perturbation theory, while the "bare" single-valley functions were found using the Ritz method. The parameters of the short-range part of the potential and the coefficient of inter-valley mixing were found individually for each donor, making it possible to obtain the best agreement with the results of experimental measurements of the energies of the singlet and triplet states. The envelope functions of the 1s(A1) and 1s(T2) states are calculated. The parameters of the valley-orbit interaction are found for each donor. It is also shown how the functions of the excited 2s, 2p0, 2p±, 3p0 states should be modified in order to remain orthogonal to the singlet and triplet functions within the framework of a more rigorous multivalley model.

Exact envelope-function theory versus symmetrized Hamiltonian for quantum wires: a comparison

2004 ◽  
Vol 132 (3-4) ◽  
pp. 141-149 ◽  
Author(s):  
B. Lassen ◽  
L.C. Lew Yan Voon ◽  
M. Willatzen ◽  
R. Melnik
Keyword(s):  
Quantum Wires ◽  
Function Theory ◽  
Envelope Function ◽  
Theory Versus

Mean-Square Response of a Second-Order System to Nonstationary, Random Excitation

1970 ◽  
Vol 37 (3) ◽  
pp. 612-616 ◽  
Author(s):  
L. L. Bucciarelli ◽  
C. Kuo
Keyword(s):  
Narrow Band ◽  
Random Excitation ◽  
Second Order ◽  
Envelope Function ◽  
Order System ◽  
Mean Square ◽  
Forcing Function ◽  
Mean Square Response ◽  
Noise Function ◽  
The Mean

The mean-square response of a lightly damped, second-order system to a type of non-stationary random excitation is determined. The forcing function on the system is taken in the form of a product of a well-defined, slowly varying envelope function and a noise function. The latter is assumed to be white or correlated as a narrow band process. Taking advantage of the slow variation of the envelope function and the small damping of the system, relatively simple integrals are obtained which approximate the mean-square response. Upper bounds on the mean-square response are also obtained.

Envelope-function matching conditions for GaAs/(Al,Ga)As heterojunctions

1988 ◽  
Vol 38 (14) ◽  
pp. 10057-10059 ◽  
Author(s):  
Ian Galbraith ◽  
Geoffrey Duggan
Keyword(s):  
Envelope Function ◽  
Matching Conditions
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