New Formulation of Dispersion Relations for Potential Scattering
- 1 February 1962
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 125 (3) , 1085-1087
- https://doi.org/10.1103/physrev.125.1085
Abstract
The amplitude for Yukawa potential scattering is represented by a Watson-Sommerfeld integral over Legendre functions , real. A dispersion relation and unitarity condition are given for the amplitudes appearing in this integral and it is shown that the resulting system for iterative calculation of the amplitude from the Born approximation is considerably simpler than in other formulations. It is also shown that these amplitudes behave similarly to the partial waves on the second energy sheet.
Keywords
This publication has 5 references indexed in Scilit:
- Singularities of Scattering Amplitudes on Unphysical Sheets and Their InterpretationPhysical Review B, 1961
- Mandelstam representation for potential scatteringAnnals of Physics, 1960
- Introduction to complex orbital momentaIl Nuovo Cimento (1869-1876), 1959
- Ueber die Mehler'schen Kegelfunctionen und deren Anwendung auf elektrostatische ProblemeMathematische Annalen, 1881
- Ueber eine mit den Kugel- und Cylinderfunctionen verwandte Function und ihre Anwendung in der Theorie der ElektricitätsvertheilungMathematische Annalen, 1881