The scattering amplitude for two-particle single-channel scattering may be computed by inverting a Hilbert-space operator , where is compleely continuous and depends on the real energy as a parameter. This inversion can always be accomplished by obtaining a finite number of eigenvalues and eigen-functions of together with a modified Born expansion which is guaranteed to converge. Another method consists in the inversion of a finite matrix, the elements of which are computed by a convergent perturbation series.
- Received 4 November 1963
- Published in the issue dated March 1964
© 1964 The American Physical Society