scholarly journals Solution of the Lippmann–Schwinger Equation for a Partial Wave Transition Matrix with Repulsive Coulomb Interaction

2017 ◽  
Vol 62 (3) ◽  
pp. 263-270 ◽  
Author(s):  
V.F. Kharchenko ◽  
Keyword(s):  
Partial Wave ◽  
Coulomb Interaction ◽  
Transition Matrix ◽  
Repulsive Coulomb

Analytical solutions for three-dimensional Coulomb transition matrix at negative energy and integer values of interaction parameter

2020 ◽  
Vol 98 (4) ◽  
pp. 375-378
Author(s):  
V.F. Kharchenko
Keyword(s):  
Coulomb Interaction ◽  
Transition Matrix ◽  
Stereographic Projection ◽  
Three Dimensional ◽  
Negative Energy ◽  
Dimensional Sphere ◽  
Repulsive Coulomb ◽  
Unit Radius ◽  
Analytical Expressions ◽  
Coulomb Parameter

With the use of a stereographic projection of momentum space into a four-dimensional sphere of unit radius, the possibility of analytical solution of the three-dimensional two-body Lippmann–Schwinger equation with the Coulomb interaction at negative energy has been studied. Simple analytical expressions for the three-dimensional Coulomb transition matrix in the case of the repulsive Coulomb interaction and positive integer values of the Coulomb parameter have been obtained. The worked out method has also been applied to the generalized three-dimensional Coulomb transition matrix in the case of the attractive Coulomb interaction and negative integer values of the Coulomb parameter.

scholarly journals Resonant states 0+ of the Boron isotope 8B from the Jost-matrix analysis of the partial cross-sections

2019 ◽  
Vol 28 (10) ◽  
pp. 1950083
Author(s):  
S. A. Rakityansky ◽  
S. N. Ershov ◽  
T. J. Tshipi
Keyword(s):  
Experimental Data ◽  
Riemann Surface ◽  
Partial Wave ◽  
Coulomb Interaction ◽  
Cross Sections ◽  
Matrix Analysis ◽  
Analytic Structure ◽  
Square Root ◽  
Excitation Energies ◽  
Resonant States

The available [Formula: see text]-matrix parametrization of experimental data on the excitation functions for the elastic and inelastic [Formula: see text] scattering at the collision energies up to 3.4[Formula: see text]MeV is used to generate the corresponding partial-wave cross-sections in the states with [Formula: see text]. Thus, obtained data are fitted using the semi-analytic two-channel Jost matrix with a proper analytic structure and some adjustable parameters. Then the spectral points are sought as zeros of the Jost matrix determinant (which correspond to the [Formula: see text]-matrix poles) at complex energies. The correct analytic structure makes it possible to calculate the fitted Jost matrix on any sheet of the Riemann surface whose topology involves not only the square-root but also the logarithmic branching caused by the Coulomb interaction. In this way, two overlapping [Formula: see text] resonances at the excitation energies [Formula: see text] and [Formula: see text][Formula: see text]MeV have been found.

scholarly journals Switching between attractive and repulsive Coulomb-interaction-mediated drag in an ambipolar GaAs/AlGaAs bilayer device

2016 ◽  
Vol 108 (6) ◽  
pp. 062102 ◽  
Author(s):  
B. Zheng ◽  
A. F. Croxall ◽  
J. Waldie ◽  
K. Das Gupta ◽  
F. Sfigakis ◽  
...  
Keyword(s):  
Coulomb Interaction ◽  
Bilayer Device ◽  
Repulsive Coulomb

DETERMINATION OF THE TRANSITION MATRIX WITH N-COUPLED CHANNELS

1989 ◽  
Vol 50 (C1) ◽  
pp. C1-119-C1-125 ◽  
Author(s):  
S. BOUGOUFFA ◽  
X. C. CAO
Keyword(s):  
Transition Matrix ◽  
Coupled Channels

Effects of Observer Variation on Performance in Probabilistic Diagnosis of Jaundice

1981 ◽  
Vol 20 (03) ◽  
pp. 163-168 ◽  
Author(s):  
G. Llndberg
Keyword(s):  
Physical Examination ◽  
System Performance ◽  
Transition Matrix ◽  
Bayes Theorem ◽  
Observer Variation ◽  
Kappa Statistics ◽  
Diagnostic Categories ◽  
Number Of Patients ◽  
Probability Transition Matrix ◽  
Probabilistic Diagnosis

A system for probabilistic diagnosis of jaundice has been used for studying the effects of taking into account the unreliability of diagnostic data caused by observer variation. Fourteen features from history and physical examination were studied. Bayes’ theorem was used for calculating the probabilities of a patient’s belonging to each of four diagnostic categories.The construction sample consisted of 61 patients. An equal number of patients were tested in the evaluation sample. Observer variation on the fourteen features had been assessed in two previous studies. The use of kappa-statistics for measuring observer variation allowed the construction of a probability transition matrix for each feature. Diagnostic probabilities could then be calculated with and without the inclusion of weights for observer variation. Tests of system performance revealed that discriminatory power remained unchanged. However, the predictions rendered by the variation-weighted system were diffident. It is concluded that taking observer variation into account may weaken the sharpness of probabilistic diagnosis but it may also help to explain the value of probabilistic diagnosis in future applications.

Coulomb interaction of composite particles

1983 ◽  
Vol 141 (11) ◽  
pp. 552
Author(s):  
D.A. Kirzhnits ◽  
F.M. Pen'kov
Keyword(s):  
Coulomb Interaction ◽  
Composite Particles

Excitonic quasimolecules containing of two quantum dots

2016 ◽  
pp. 4024-4028 ◽  
Author(s):  
Sergey I. Pokutnyi ◽  
Wlodzimierz Salejda
Keyword(s):  
Quantum Dots ◽  
Binding Energy ◽  
Exchange Interaction ◽  
Coulomb Interaction ◽  
Silicate Glass ◽  
Glass Matrix ◽  
Silicate Glass Matrix

The possibility of occurrence of the excitonic  quasimolecule formed of spatially separated electrons and holes in a nanosystem that consists  of  CuO quantum dots synthesized in a silicate glass matrix. It is shown that the major contribution to the excitonic quasimolecule binding energy is made by the energy of the exchange interaction of electrons with holes and this contribution is much more substantial than the contribution of the energy of Coulomb interaction between the electrons and holes.

Bonding and stability in the ordered alloys FeV and CoTi. Comparison with FeTi

1985 ◽  
Vol 50 (10) ◽  
pp. 2093-2100
Author(s):  
Štěpán Pick ◽  
Mojmír Tomášek ◽  
Mojmír Šob
Keyword(s):  
Phase Diagrams ◽  
Partial Wave ◽  
Partial Wave Analysis ◽  
Intermetallic Alloys ◽  
Wave Analysis ◽  
Ordered Alloys ◽  
Ordered Intermetallic ◽  
Cscl Structure ◽  
Ionic Effects

Partial wave analysis together with the qualitative examination of hybridization has been performed for two ordered intermetallic alloys with CsCl structure, FeV, and CoTi. The results resemble those obtained previously for FeTi, although important deviations are present as well. The stabilization of the ordered phase is again due to ionic effects. Qualitative arguments are suggested to explain the small stability of the CsCl phase of FeV and some differences in the FeTi and CoTi phase diagrams.

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