An integral equation program to calculate radial wave functions and scattering phase shifts of short-range local interactions

1979 ◽  
Vol 17 (4) ◽  
pp. 365-374 ◽  
Author(s):  
M.S. Stern
Keyword(s):  
Integral Equation ◽  
Short Range ◽  
Phase Shifts ◽  
Wave Functions ◽  
Local Interactions ◽  
Radial Wave ◽  
Scattering Phase ◽  
Scattering Phase Shifts

Bound state energies and scattering phase shifts in a short-range potential

1981 ◽  
Vol 59 (11) ◽  
pp. 1653-1657
Author(s):  
S. N. Banerjee ◽  
Pratima Chakraborty
Keyword(s):  
Short Range ◽  
Bound State ◽  
Phase Shifts ◽  
Wkb Approximation ◽  
Short Range Potential ◽  
Range Potential ◽  
Pure Coulomb ◽  
Screening Parameter ◽  
Scattering Phase ◽  
Scattering Phase Shifts

The semi-classical Wentzel–Kramers–Brillouin (WKB) approximation has been used to determine the bound state energies and scattering phase-shifts in a short range potential having a cut-off. The corresponding pure coulomb cases are found to follow as limiting cases when the screening parameter tends to zero. The mutual interrelationship between the bound state poles and the analyticity of the scattering amplitude has also been explored in the context of the WKB approximation.

scholarly journals The Nonrelativistic Scattering States of the Deng-Fan Potential

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
Bentol Hoda Yazarloo ◽  
Liangliang Lu ◽  
Guanghui Liu ◽  
Saber Zarrinkamar ◽  
Hassan Hassanabadi
Keyword(s):  
Approximation Scheme ◽  
Wave Functions ◽  
Energy Eigenvalues ◽  
Scattering States ◽  
Special Cases ◽  
Scattering State ◽  
Term Energy ◽  
Scattering Phase ◽  
Scattering Phase Shifts ◽  
Nonrelativistic Scattering

The approximately analytical scattering state solution of the Schrodinger equation is obtained for the Deng-Fan potential by using an approximation scheme to the centrifugal term. Energy eigenvalues, normalized wave functions, and scattering phase shifts are calculated. We consider and verify two special cases: thel=0and thes-wave Hulthén potential.

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