scholarly journals On the behaviour of the partial-wave amplitudes for large angular momenta in potential scattering

1964 ◽  
Vol 31 (6) ◽  
pp. 1229-1245 ◽  
Author(s):  
A. Martin
Keyword(s):  
Partial Wave ◽  
Potential Scattering ◽  
Angular Momenta

Existence of partial-wave two-cluster atomic scattering amplitudes

1979 ◽  
Vol 57 (3) ◽  
pp. 449-456 ◽  
Author(s):  
J. Nuttall ◽  
S. R. Singh
Keyword(s):  
Scattering Amplitudes ◽  
Partial Wave ◽  
Scattering Problem ◽  
Potential Scattering ◽  
Atomic Systems ◽  
Almost Everywhere ◽  
Cluster Threshold ◽  
Channel Potential ◽  
Atomic Scattering ◽  
Coupled Channel

It is shown, with some restrictions, that two-cluster partial wave scattering amplitudes for atomic systems whose particles interact via two-body Coulomb potentials exist almost everywhere in the energy range below any three-cluster threshold. The method of proof is to reduce the problem to a coupled channel potential scattering problem with pseudo-local potentials. Boost analyticity is used to derive the pseudo-locality.

The partial wave theory of electron-hydrogen atom collisions

1957 ◽  
Vol 53 (3) ◽  
pp. 654-662 ◽  
Author(s):  
I. C. Percival ◽  
M. J. Seaton
Keyword(s):  
Hydrogen Atom ◽  
Partial Wave ◽  
Cross Sections ◽  
Wave Theory ◽  
Wave Functions ◽  
Scattered Electron ◽  
Hartree Fock ◽  
Angular Momenta ◽  
Continuous State ◽  
Approximate Wave

ABSTRACTThe paper is concerned with the solution of the algebraic problems arising in the partial wave treatment of electron-hydrogen atom collisions. Explicitly antisymmetrized wave functions are used throughout. The boundary conditions are written in S-matrix notation and expressions for total and differential cross-sections obtained. The algebraic coefficients fλ and gλ occurring in the continuous state Hartree-Fock equations are expressed in terms of Racah coefficients, and tabulated as functions of the total angular momentum for atomic s, p and d electrons and all angular momenta of the scattered electron. Expressions are given for the calculation of first-order corrections to the results obtained using approximate wave functions.

scholarly journals AN APPROACH TO POTENTIAL SCATTERING

2005 ◽  
Vol 20 (26) ◽  
pp. 1983-1989 ◽  
Author(s):  
B. GÖNÜL ◽  
M. KOÇAK
Keyword(s):  
Perturbation Theory ◽  
Partial Wave ◽  
Bound State ◽  
Phase Shifts ◽  
Potential Scattering ◽  
Wave Phase

Recently developed time-independent bound-state perturbation theory is extended to treat the scattering domain. The changes in the partial wave phase shifts are derived explicitly and the results are compared with those of other methods.

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