Physics – Quantum Physics
Scientific paper
2001-03-05
Am. J. Phys. 69 (2001) 1010-1013
Physics
Quantum Physics
12 pages, accepted in American Journal of Physics
Scientific paper
10.1119/1.1371011
A self-contained discussion of integral equations of scattering is presented in the case of centrally-symmetric potentials in one dimension, which will facilitate the understanding of more complex scattering integral equations in two and three dimensions. The present discussion illustrates in a simple fashion the concept of partial-wave decomposition, Green's function, Lippmann-Schwinger integral equations of scattering for wave function and transition operator, optical theorem and unitarity relation. We illustrate the present approach with a Dirac delta potential.
Adhikari Sadhan K.
Barlette Vania E.
Leite Marcelo M.
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