First order estimates of the error in approximate calculations of scattering phase shifts

1979 ◽  
Vol 20 (4) ◽  
pp. 736-739 ◽  
Author(s):  
J. W. Darewych ◽  
J. Sokoloff
Keyword(s):  
Phase Shifts ◽  
First Order ◽  
Scattering Phase ◽  
Scattering Phase Shifts

Estimating the error in variational scattering calculations

1978 ◽  
Vol 56 (10) ◽  
pp. 1358-1364 ◽  
Author(s):  
J. W. Darewych ◽  
R. Pooran
Keyword(s):  
Wave Scattering ◽  
Exponential Potential ◽  
S Wave ◽  
Order Error ◽  
Absolute Value ◽  
First Order ◽  
Scattering Phase ◽  
Square Well ◽  
Scattering Phase Shifts ◽  
Made In

We derive bounds to the absolute value of the error that is made in variational estimates of scattering phase shifts. These bounds, like the variational estimates, are second order in 'small' quantities and are, in this respect, an improvement on similar but first-order error bounds derived previously by Bardsley, Gerjuoy, and Sukumar. The s-wave scattering by a square well potential, in the Born approximation, and by an exponential potential, using a many parameter trial function, are used to illustrate the results.

scholarly journals Doubling of scattering phase shifts for two-dimensional strings

1995 ◽  
Vol 448 (1-2) ◽  
pp. 277-292 ◽  
Author(s):  
Antal Jevicki ◽  
Miao Li ◽  
Tamiaki Yoneya
Keyword(s):  
Phase Shifts ◽  
Two Dimensional ◽  
Scattering Phase ◽  
Scattering Phase Shifts
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