On the binary collision expansion and resummations of it
It is pointed out that when there are only two interaction terms in the Hamiltonian, the binary collision expansion (BCE) for the scattering operator can be resummed into a closed form. When there are...
It is pointed out that when there are only two interaction terms in the Hamiltonian, the binary collision expansion (BCE) for the scattering operator can be resummed into a closed form. When there are...
Nonsingular modified Lippmann–Schwinger equation for two charged particles
We consider the partial waves of the two-body Lippmann–Schwinger equation for the T matrix in the case of the sum of the Coulomb plus a more rapidly vanishing potential. Using the knowledge of e...
We consider the partial waves of the two-body Lippmann–Schwinger equation for the T matrix in the case of the sum of the Coulomb plus a more rapidly vanishing potential. Using the knowledge of e...
Charged-particle off-shell scattering: common structure of all two-body off-shell scattering quantities for Coulomb plus rational separable potentials
J. Math. Phys. 24, 2467 (1983); doi:10.1063/1.525611
Issue Date: October 1983
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We establish a common structure of all two-body off-shell scattering quantities (expressed in momentum space or coordinate space) associated with Coulomb plus rational separable potentials. We present expressions in so-called maximal-reduced closed form, including new formulas: (i) for the off-shell Jost state for the Coulomb potential, (ii) for the off-shell Jost function associated with the Coulomb plus Yamaguchi potential, and (iii) for the scattering, regular, and Jost states in coordinate representation for Coulomb plus simple separable potentials for all l.
Journal of Mathematical Physics is copyrighted by The American Institute of Physics.
| History: | Received 29 July 1982; accepted 23 September 1982 |
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0022-2488 (print)
1089-7658 (online)
AIP
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