It is argued that the real and imaginary parts of the effective potential operator for scattering problems obey a dispersion relation also when the Hamiltonian is not Hermitian. Model calculations are used to demonstrate that the equivalent local potential approximately satisfies the dispersion relation when absorption is present. It is also shown that the equivalent local potential is insensitive to the bare potential used in the entrance channel.
- Received 25 August 1989
- Published in the issue dated March 1990
© 1990 The American Physical Society