Self-consistent potentials and linear regime conductance of cylindrical nanowire transistors in the R-matrix formalism

2009 ◽  
Vol 106 (11) ◽  
pp. 113714 ◽  
Author(s):  
G. A. Nemnes ◽  
L. Ion ◽  
S. Antohe
Keyword(s):  
Matrix Formalism ◽  
Linear Regime ◽  
R Matrix ◽  
Nanowire Transistors ◽  
Self Consistent

scholarly journals The Ghost Anomaly in the 9Be(p, d)8Be Reaction

1976 ◽  
Vol 29 (4) ◽  
pp. 245 ◽  
Author(s):  
FC Barker ◽  
GM Crawley ◽  
PS Miller ◽  
WF Steele
Keyword(s):  
Ground State ◽  
Matrix Formalism ◽  
R Matrix

The ghost of the 8Be ground state has been observed in the 9Be(p, d)8Be reaction, and fitted using a many-level R-matrix formalism.

Transfer Matrix of the Two-dimensional Ising Model

2020 ◽  
pp. 211-234
Author(s):  
Giuseppe Mussardo
Keyword(s):  
Ising Model ◽  
Critical Point ◽  
Transfer Matrix ◽  
Functional Equations ◽  
Baxter Equation ◽  
Matrix Formalism ◽  
Two Dimensional ◽  
R Matrix ◽  
Transfer Matrix Formalism ◽  
Lowest Eigenvalue

This chapter deals with the exact solution of the two-dimensional Ising model as it is achieved through the transfer matrix formalism. It discusses the crucial role played by the commutative properties of the transfer matrices, which lead to a functional equation for their eigenvalues. The exact free energy of the Ising model and its critical point can be identified by means of the lowest eigenvalue. The chapter covers Baxter's approach, the Yang–Baxter equation and its relation to the Boltzmann weights, the R-matrix, and discusses activity away from the critical point, the six-vertex model, as well as functional equations and symmetries.

Non-linear behavior of Junctionless nanowire transistors operating in the linear regime

2013 ◽  
Author(s):  
Rodrigo T. Doria ◽  
Renan D. Trevisoli ◽  
Michelly de Souza ◽  
Magali Estrada ◽  
Antonio Cerdeira ◽  
...  
Keyword(s):  
Linear Regime ◽  
Nanowire Transistors ◽  
Linear Behavior ◽  
Non Linear

scholarly journals Application of Reaction Matrix Theory to Meson Processes

1968 ◽  
Vol 21 (6) ◽  
pp. 769
Author(s):  
JL Cook
Keyword(s):  
Boundary Conditions ◽  
Matrix Theory ◽  
Matrix Formalism ◽  
Pion Cloud ◽  
R Matrix ◽  
Reaction Matrix ◽  
Pion Nucleon ◽  
Full Analysis

The possible application of reaction matrix theory to pion-nucleon processes is discussed. It is found that suitable boundary conditions can remove the effects of the nucleon-pion cloud, leading to the conventional R-matrix formalism. A simple dynamical channel.coupling scheme is proposed which permits full analysis of experiments.

scholarly journals The Roles of the Gate Bias, Doping Concentration, Temperature and Geometry on the Harmonic Distortion of Junctionless Nanowire Transistors Operating in the Linear Regime

2014 ◽  
Vol 9 (2) ◽  
pp. 110-117
Author(s):  
Rodrigo T. Doria ◽  
Renan D. Trevisoli ◽  
Michelly De Souza ◽  
Magali Estrada ◽  
Antonio Cerdeira ◽  
...  
Keyword(s):  
Experimental Data ◽  
Doping Concentration ◽  
Series Resistance ◽  
Harmonic Distortion ◽  
Physical Parameters ◽  
Gate Bias ◽  
Linear Regime ◽  
Third Order ◽  
Nanowire Transistors ◽  
The Third

The linearity of Junctionless nanowire transistors operating in the linear regime has been evaluated through experimental data and numerical simulations. The influences of the fin width, the gate bias, the temperature, the doping concentration and the geometry on the overall linearity have been evaluated. The increase of the series resistance associated both to the variation of the physical parameters and the incomplete ionization effect has shown to improve the second order distortion and degrade the third order one.

Resonance Widths and Unitarity

1972 ◽  
Vol 50 (2) ◽  
pp. 84-92 ◽  
Author(s):  
C. T. Tindle
Keyword(s):  
Energy Dependence ◽  
Cross Section ◽  
Matrix Theory ◽  
Neutron Cross Section ◽  
Matrix Formalism ◽  
R Matrix ◽  
Level Width ◽  
S Matrix ◽  
The Difference ◽  
Energy Dependent

The low energy neutron cross section of 135Xe is analyzed using both the R-matrix theory of Wigner and Eisenbud and the S-matrix theory of Humblet and Rosenfeld. Particular attention is given to the role played by the total resonance level width for it is well known that the R-matrix widths are energy dependent but the S-matrix widths are not. This different energy dependence leads to different analytic forms for the cross section and the n + 135Xe reaction offers what may be the simplest and best physical example for comparing these two forms. To the accuracy of the present data the difference is not detectable. The different energy dependence of the resonance widths is shown to be related to unitarity. A general proof that the R-matrix formalism is always unitary is given. The difficulty of satisfying unitarity in the S-matrix formalism is discussed and it is shown for the n + 135Xe reactions that this can lead to physically unacceptable solutions. This "lack of unitarity" does not, however, lead to any difficulties in fitting the present experimental data.

The R-matrix formalism for two-particle scattering problems

2021 ◽  
pp. 127865
Author(s):  
Dragoş-Victor Anghel ◽  
Amanda Teodora Preda ◽  
George Alexandru Nemnes
Keyword(s):  
Matrix Formalism ◽  
Particle Scattering ◽  
Scattering Problems ◽  
R Matrix
Sign in / Sign up

Export Citation Format

Share Document