ISSN:
1089-7690
Source:
AIP Digital Archive
Topics:
Physics
,
Chemistry and Pharmacology
Notes:
The energy, momentum, and angle dependent cross section for the inelastic scattering of electrons from atoms has been calculated in the form of the Bethe surface, by means of the complex-coordinate technique which avoids the explicit calculation of the final scattering states by extracting the necessary scattering information from the expectation value of the resolvent with respect to the initial (ground) state. An application to the scattering of electrons from the helium atom is presented. Both the global structure and the spectral properties are obtained, and the method appears to be especially successful in describing the fine structure due to the presence of the doubly excited resonant states. The interaction between the resonant and nonresonant (background continuum) contributions to the cross section is automatically included, and in the optical limit is seen to result in the typical Fano shapes of the resonant profiles. For higher momentum transfers the development of Bethe ridge and the optically forbidden spectral lines is followed.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.452069
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