On the analytic properties of partial wave scattering amplitudes obtained from the Schrödinger equation
The behavior of the radial reduced wave function was studied by means of the Schroedinger equation for complex values of momentum k. In the case of infinite range potentials, the study is restricted to the s wave. The anomalous poles in the upper plane lie outside the imaginary axis for the oscillating potential. The complete analytic behavior for the Yukawa potential and generalization, including behavior at infinity, is described. The analytic properties are given of a quantity related to the wave function at a fixed point r, giving rise to generalized dispersion relations. (C.J.G.)
- Research Organization:
- European Council for Nuclear Research, Geneva
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-14-005733
- OSTI ID:
- 4198092
- Journal Information:
- Nuovo Cimento, Vol. 14, Issue 2; Other Information: Orig. Receipt Date: 31-DEC-60; ISSN 0029-6341
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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