Delta‐function model for short‐range interatomic forces: Correlation scheme for closed‐shell atoms and ions

1975 ◽  
Vol 62 (4) ◽  
pp. 1299-1302 ◽  
Author(s):  
N. A. Sondergaard ◽  
E. A. Mason
Keyword(s):  
Short Range ◽  
Closed Shell ◽  
Delta Function ◽  
Function Model

scholarly journals The BAW and SAW coupling analysis of patterned piezoelectric films as inter-digital transducers on diamond substrates using delta-function model

AIP Advances ◽  
2021 ◽  
Vol 11 (8) ◽  
pp. 085006
Author(s):  
B. W. Xie ◽  
F. Z. Ding ◽  
H. J. Shang ◽  
D. X. Huang ◽  
T. G. Li ◽  
...  
Keyword(s):  
Delta Function ◽  
Function Model ◽  
Coupling Analysis ◽  
Piezoelectric Films ◽  
Digital Transducers

Rotational excitations of diatomic molecule with delta potential barrier

2018 ◽  
Vol 17 (04) ◽  
pp. 1850022
Author(s):  
Sonia Lumb ◽  
Shalini Lumb ◽  
Vinod Prasad
Keyword(s):  
Diatomic Molecule ◽  
Applied Field ◽  
Morse Potential ◽  
Short Range ◽  
Delta Function ◽  
Energy Spectra ◽  
Matrix Elements ◽  
Delta Potential ◽  
Homonuclear Diatomic Molecule ◽  
Delta Functions

The interatomic interactions in a diatomic molecule can be fairly modeled by the Morse potential. Short range interactions of the molecule with the neighboring environment can be analyzed by modifying this potential by delta functions. Energy spectra and radial matrix elements have been calculated using an accurate nine-point finite-difference method for such an interacting homonuclear diatomic molecule. The effect of the strength and position of a single delta function interaction on the alignment of this molecule has been studied. The dependence of alignment on the strength of applied field has also been analyzed.

Stability of Coupled-Core Nuclear Reactors: Selected Exact Results

1967 ◽  
Vol 89 (2) ◽  
pp. 283-286
Author(s):  
S. J. Gage ◽  
F. T. Adler
Keyword(s):  
Time Distribution ◽  
Nuclear Reactors ◽  
Delta Function ◽  
Step Function ◽  
Single Step ◽  
Exact Results ◽  
Stability Criteria ◽  
Function Model ◽  
Analytical Stability ◽  
The One

Exact analytical stability criteria are derived for the coupled-core kinetics equations. Four approximate models for describing the time distribution of the coupling neutrons are considered and a theorem proved by Pontryagin is used to establish the asymptotic stability of the systems. The criterion based on the Single Delta Function Model is compared with the one based on the Single Step Function Model.

scholarly journals Solution of the Delta Function Model for Heliumlike Ions

1971 ◽  
Vol 55 (5) ◽  
pp. 2474-2483 ◽  
Author(s):  
Carey M. Rosenthal
Keyword(s):  
Delta Function ◽  
Function Model

Noncentral Force Model for h.c.p. Metals

1973 ◽  
Vol 51 (6) ◽  
pp. 616-623 ◽  
Author(s):  
S. S. Kushwaha
Keyword(s):  
Coulomb Potential ◽  
Short Range ◽  
Closed Shell ◽  
Experimental Results ◽  
Force Model ◽  
Dynamical Matrix ◽  
Screened Coulomb Potential ◽  
Shell Part

The elements of the dynamical matrix are separated into two parts : (i) a short-range closed-shell part and (ii) an ionic part. The effect of the former is calculated using noncentral forces involving central as well as angular forces whereas the latter part is evaluated on the lines of Krebs using a screened Coulomb potential. The calculated phonon frequencies along symmetry directions and θ–T curves for Mg, Be, and Tl have been plotted and compared with the experimental results.

scholarly journals Systematic study of the effect of short range correlations on the form factors and densities of s-p-d shell nuclei

2020 ◽  
Vol 9 ◽  
pp. 279
Author(s):  
H. C. Moustakidis ◽  
S. E. Massen
Keyword(s):  
Systematic Study ◽  
Short Range ◽  
Form Factors ◽  
Closed Shell ◽  
Open Shell ◽  
Oscillator Parameter ◽  
Charge Form ◽  
Closed Shell Nuclei ◽  
The One ◽  
Short Range Correlations

Analytical expressions of the one- and two-body terms in the cluster expansion of the charge form factors and densities of the s-p and s-d shell nuclei with N=Z are derived. They depend on the harmonic oscillator parameter 6 and the parameter β which originates from the Jastrow correlation function. These expressions are used for the systematic study of the effect of short range correlations on the form factors and densities and of the mass dependence of the parameters ò and β. These parameters have been determined by fit to the experimental charge form factors. The inclusion of the correlations reproduces the experimental charge form factors at the high momentum transfers (q > 2 fm^-1). It is found that while the parameter β is almost constant for the closed shell nuclei, 4He, 16O and 40Ca, its values are larger (less correlated systems) for the open shell nuclei, indicating a shell effect in the closed shell nuclei.

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