Delta‐Function Model for Short‐Range Intermolecular Forces. I. Rare Gases

1958 ◽  
Vol 28 (3) ◽  
pp. 432-438 ◽  
Author(s):  
Edward A. Mason ◽  
Joseph T. Vanderslice
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 ◽  
...  

2018 ◽  
Vol 17 (04) ◽  
pp. 1850022
Author(s):  
Sonia Lumb ◽  
Shalini Lumb ◽  
Vinod Prasad

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.


1967 ◽  
Vol 89 (2) ◽  
pp. 283-286
Author(s):  
S. J. Gage ◽  
F. T. Adler

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.


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