TY - JOUR
T1 - Appearance of anomalies in the Takatsuka-McKoy variational method
T2 - An illustrative example
AU - Abdel-Raouf, M. A.
PY - 1984
Y1 - 1984
N2 - It is demonstrated that the method of the fractional functional proposed by Takatsuka and McKoy, and the variational method of Moe and Saxon and of Kolsrud are identical. In particular, we show that the method is, contrary to Takatsuka and McKoy's claim, not free of anomalies; it implies the incorporation of the boundary conditions, it does not satisfy a minimum principle, and suffers from inconsistency. In order to illustrate the validity of our arguments, we investigate the s-wave scattering of electrons by Yukawa potentials.
AB - It is demonstrated that the method of the fractional functional proposed by Takatsuka and McKoy, and the variational method of Moe and Saxon and of Kolsrud are identical. In particular, we show that the method is, contrary to Takatsuka and McKoy's claim, not free of anomalies; it implies the incorporation of the boundary conditions, it does not satisfy a minimum principle, and suffers from inconsistency. In order to illustrate the validity of our arguments, we investigate the s-wave scattering of electrons by Yukawa potentials.
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U2 - 10.1103/PhysRevA.30.2794
DO - 10.1103/PhysRevA.30.2794
M3 - Article
AN - SCOPUS:24444453984
VL - 30
SP - 2794
EP - 2798
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
SN - 1050-2947
IS - 5
ER -