Appearance of anomalies in the Takatsuka-McKoy variational method: An illustrative example

Journal Article · Thu Nov 01 04:00:00 EST 1984 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.30.2794· OSTI ID:6212676

Abdel-Raouf, M A

It is demonstrated that the method of 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.

• Research Organization: Physics Department, York University, Toronto, Ontario, Canada M3J1P3
• OSTI ID: 6212676
• Journal Information: Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 30:5; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

640304* -- Atomic
Molecular & Chemical Physics-- Collision Phenomena
74 ATOMIC AND MOLECULAR PHYSICS
ATOM COLLISIONS
BOUNDARY CONDITIONS
COLLISIONS
ELECTRON COLLISIONS
ELECTRON-ATOM COLLISIONS
MECHANICS
NUCLEAR POTENTIAL
PARTIAL WAVES
POTENTIALS
QUANTUM MECHANICS
S WAVES
VARIATIONAL METHODS
YUKAWA POTENTIAL