scholarly journals On the analytic properties of partial wave scattering amplitudes obtained from the Schrödinger equation

1959 ◽  
Vol 14 (2) ◽  
pp. 403-425 ◽  
Author(s):  
A. Martin
Keyword(s):  
Scattering Amplitudes ◽  
Schrödinger Equation ◽  
Partial Wave ◽  
Wave Scattering ◽  
Schrodinger Equation

scholarly journals A NOTE ON COULOMB SCATTERING AMPLITUDE

2007 ◽  
Vol 22 (18) ◽  
pp. 3131-3136
Author(s):  
ZAFAR AHMED
Keyword(s):  
Schrödinger Equation ◽  
Partial Wave ◽  
Schrodinger Equation ◽  
Scattering Amplitude ◽  
Coulomb Scattering ◽  
Cylindrical Coordinates ◽  
General Method

The summation of the partial wave series for Coulomb scattering amplitude, fC(θ) is usually avoided because the series is oscillatorily and divergent. Instead, fC(θ) is generally obtained by solving the Schrödinger equation in parabolic cylindrical coordinates which is not a general method. Here, we show that a reconstructed series, (1- cos θ)2fC(θ), is both convergent and analytically summable.

Partial-wave scattering amplitudes for velocity-dependent potentials

1968 ◽  
Vol 54 (1) ◽  
pp. 127-140 ◽  
Author(s):  
P. Butera ◽  
L. Girardello
Keyword(s):  
Scattering Amplitudes ◽  
Partial Wave ◽  
Wave Scattering
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