Variational bounds on the radius of convergence of the born series |
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| Authors: | David J Malik John H Weare |
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| Institution: | Department of Chemistry, Revelle College, University of California, San Diego, La Jolla, California 92037, USA |
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| Abstract: | The radius of convergence of the Born series for potential scattering problems is discussed in terms of the eigen-values of the scattering integral equation. Variational procedures yielding upper and lower bounds for these eigen-values are introduced. These bounds axe calculated using various trial functions and compared to the exact values for the square well, exponential repulsive, and Yukawa potentials. |
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