Comparison between the-Matrix and Eigenchannel Methods
- 20 June 1968
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 170 (4) , 847-856
- https://doi.org/10.1103/physrev.170.847
Abstract
The -matrix and eigenchannel methods for the calculation of the matrix are investigated from the point of view of their range of validity and accuracy. It is shown that no serious difficulty arises in the -matrix method provided negative boundary-condition parameters are used. Because the space of functions within which the Hamiltonian is diagonalized depends upon the eigenphases, and because of the occurrence of positive boundary-condition parameters, serious difficulties arise in the eigenchannel approach. In particular, the calculated cross sections may exhibit spurious resonance peaks.
Keywords
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