Asymptotic Behavior of Phase Shift in λ for Strongly Singular Potentials
- 1 January 1966
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 7 (1) , 88-97
- https://doi.org/10.1063/1.1704820
Abstract
The asymptotic form of the phase shift is derived for strongly singular potentials for large complex λ, |arg λ| < ½π, and real k. This result is valid also for usual (regular) potentials. It is shown also that the S‐matrix for strongly singular potentials must have an infinite number of poles in λ‐plane accumulating asymptotically in a narrow region along the imaginary axis in the first and third quadrants.Keywords
This publication has 3 references indexed in Scilit:
- Theory of scattering on highly singular potentialsIl Nuovo Cimento (1869-1876), 1962
- The maximum analyticity principle in the angular momentumIl Nuovo Cimento (1869-1876), 1962
- Potential scattering for complex energy and angular momentumIl Nuovo Cimento (1869-1876), 1962