Computation of Elastic Scattering Phase Shifts via Analytic Continuation of Fredholm Determinants Constructed Using an L2 Basis
Abstract
It is shown that the Fredholm determinant for the Lippmann-Schwinger equation may be computed for complex energies using only L2 basis functions. Analytic continuation to the real axis in the E+iɛ limit gives elastic scattering phase shifts over a continuous range of energies, showing that it is not necessary to explicitly enforce asymptotic boundary conditions for numerical scattering computations, and suggesting that elastic electron-atom or -ion scattering information may be obtained using standard bound-state configuration-interaction methods.
- Publication:
-
Physical Review Letters
- Pub Date:
- February 1972
- DOI:
- 10.1103/PhysRevLett.28.401
- Bibcode:
- 1972PhRvL..28..401R