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Development of a confined variational method for elastic scattering

Zhang, Jun-Yi, Mitroy, Jim and Varga, Kalman (2008). Development of a confined variational method for elastic scattering. Physical Review A (Atomic, Molecular and Optical Physics),78(4):042705-1-042705-12.

Document type: Journal Article
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IRMA ID 79608405xPUB17
Title Development of a confined variational method for elastic scattering
Author Zhang, Jun-Yi
Mitroy, Jim
Varga, Kalman
Journal Name Physical Review A (Atomic, Molecular and Optical Physics)
Publication Date 2008
Volume Number 78
Issue Number 4
ISSN 1050-2947   (check CDU catalogue  open catalogue search in new window)
Scopus ID 2-s2.0-54849426273
Start Page 042705-1
End Page 042705-12
Total Pages 12
Place of Publication College Park, United States
Publisher American Physical Society
Field of Research 0202 - Atomic, Molecular, Nuclear, Particle and Plasma Physics
0204 - Condensed Matter Physics
0205 - Optical Physics
HERDC Category C1 - Journal Article (DEST)
Abstract It is shown that the discrete energies of a scattering Hamiltonian calculated under the influence of an artificial confining potential can be used to determine its phase shifts. Two potentials that have the same energy under the influence of the confining potential have exactly the same phase shift at that energy when the confining potential is removed. Thus the phase shifts of a complicated many-body problem can be extracted by solving the Schrödinger equation under the influence of the confining potential, and then making reference to the energies and phase shifts of a much simpler model potential calculated in the same confining potential. Calculations on real systems gave very precise phase shifts for the e−-H and e−-He systems.
DOI http://dx.doi.org/10.1103/PhysRevA.78.042705   (check subscription with CDU E-Gateway service for CDU Staff and Students  check subscription with CDU E-Gateway in new window)
Additional Notes Copyright by the American Physical Society


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