Computation of energy dependent scattering amplitudes via analytic continuation of the fredholm determinant

✍ Scribed by T.S. Murtaugh; W.P. Reihardt

• Publisher: Elsevier Science
• Year: 1971
• Tongue: English
• Weight: 569 KB
• Volume: 11
• Category: Article
• ISSN: 0009-2614
• DOI: 10.1016/0009-2614(71)87004-5

✦ Synopsis

A rapij method <or ckulating partial-wa= scattering amplitudes o\zr a range of energies is presented. Ap' proximate vables of the partial-wave FredhoLm determinant sre amputed at a number of points in the complex energy plane from a single matrix tridiagonalization and are contin& to th: r~l axis via point+viti rational fraction analytic crmtinuation. For twc model problems accurate suttering information is .obtained over a wide rae of'encrgies, and resonances are easily located by no!ing the zeros of the real part of the determinsnt. * This work was prrially supported by agrant from the Clark Fund of th.: Faculty of Arts and Sciencs: Harvard University. This support is gratefully acknowledged. ** NSF Predoctoral Fellow 1969-71. t Recently other methods for rapid computation of energy-qepndent cross sections have been introduced: see for cxamplc ref. $1). Othk methods designed spedf~tally for location of nmow resonances are given til refs. (2.31. 77 An earlier version of this work appeks ia IX!". 16). 562.

energies, thus yielding energy dependent scattering information in a simple manner.