Coulombian asymptotic states

Journal of Mathematical Physics - Tập 17 Số 6 - Trang 995-1000 - 1976
H. van Haeringen1
1Natuurkundig Laboratorium der Vrije Universiteit, Amsterdam, The Netherlands

Tóm tắt

We define and study Coulombian asymptotic states, denoted by ‖k∞〉, which are useful and important for stationary Coulombian scattering theory. Using these asymptotic states, we are able to derive from the off-shell T matrix the physical on-shell T matrix for Coulomb plus short-range potentials. This function is proportional to the physical scattering amplitude. A generalized Lippmann–Schwinger equation and related equations are derived. Many other applications of the asymptotic states exist. We show the precise connection of ‖k∞〉 with the time-dependent Coulomb scattering theory.

Từ khóa


Tài liệu tham khảo

1974, Commun. Math. Phys., 35, 181, 10.1007/BF01646192

1974, Nuovo Cimento, 23 B, 313

1968, J. Math. Phys., 9, 796, 10.1063/1.1664644

1951, Phys. Rev., 83, 667, 10.1103/PhysRev.83.667

1975, J. Math. Phys., 16, 1441, 10.1063/1.522691

1964, J. Math. Phys., 5, 729, 10.1063/1.1704171

1974, Lett. Nuovo Cimento, 10, 121, 10.1007/BF02787157