AN ITERATION-VARIATION METHOD FOR ATOMIC SCATTERING PROBLEMS

Journal Article · Thu Nov 01 04:00:00 EST 1962 · Proc. Phys. Soc. (London)

DOI:https://doi.org/10.1088/0370-1328/80/5/303· OSTI ID:4768804

Saraph, H E; Seaton, M J

The solution of the integro-differential equations of atomic scattering theory is discussed. In previous work, approximate analytic solutions have been obtained using variational methods and numerical solutions have been obtained by iteration. lt is known that rapid convergence may be obtained in an iteration- variation method in which the trial functions are linear combinations of the iterated functions. For scattering of slow electrons by hydrogen atoms the method gives four-figure accuracy with, at most two iterations, compared with eight iterations required in previous work. (auth)

• Research Organization: University Coll., London
• NSA Number: NSA-17-005565
• OSTI ID: 4768804
• Journal Information: Proc. Phys. Soc. (London), Journal Name: Proc. Phys. Soc. (London) Vol. Vol: 80
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ATOMS
DIFFERENTIAL EQUATIONS
ELECTRON BEAMS
HYDROGEN
MATHEMATICS
NUMERICALS
PHYSICS
SCATTERING
VARIATIONS