Analytic Continuation of the Off-Energy-Shell Scattering Amplitude

Journal of Mathematical Physics - Tập 8 Số 4 - Trang 873-877 - 1967
J. Nuttall1
1Department of Physics, Texas A & M University, College Station, Texas

Tóm tắt

It is shown that the two-body scattering amplitude 〈k| T(E) |k′〉 may be analytically continued in E through the physical cut into a region of meromorphy, provided that the potential satisfies certain requirements. The residue at a pole is a separable operator whose form agrees with previous work. The proof also demonstrates the existence of a region of meromorphy of 〈k| T(E) |k′〉 as a function of seven complex variables.

Từ khóa


Tài liệu tham khảo

1965, Phys. Rev. Letters, 15, 798, 10.1103/PhysRevLett.15.798

1965, Phys. Rev. Letters, 15, 538, 10.1103/PhysRevLett.15.538

1964, Phys. Rev., 133, B232, 10.1103/PhysRev.133.B232

1936, Math. Ann., 113, 600

1936, Math. Ann., 113, 677

1939, Math. Ann., 116, 555, 10.1007/BF01597374

1940, Math. Ann., 117, 356, 10.1007/BF01450023

1941, Math. Ann., 118, 462, 10.1007/BF01487382

1964, Phys. Rev., 133, B1231, 10.1103/PhysRev.133.B1231

Thông tin
Thông tin xuất bản

Journal of Mathematical Physics

Tập 8 Số 4

873-877

Thông tin tác giả