Asymptotic Behavior of Phase Shift in λ for Strongly Singular Potentials

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...

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Bibliographic Details
Published in:Journal of mathematical physics 1966-01, Vol.7 (1), p.88-97
Main Authors: Jakšić, B., Limić, N.
Format: Article
Language:English
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Summary: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.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.1704820