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TMF, 1976, Volume 26, Number 1, Pages 42–47 (Mi tmf3166)  

Method of calculating matrix elements and cross sections with wave functions with definite angular momentum

V. S. Polikanov


Abstract: A method is proposed for calculating the matrix elements and cross sections with a wave function with definite angular momentum. The method consists of calculating the matrix element in which the function with definite angular momentum is replaced by the function $\exp(i\mathbf k\mathbf r-\eta r)$ with subsequent differentiation of the result with respect to $\eta$ and taking of the gradients with respect to $\mathbf k$ in accordance with $Eq$.(5). The method is illustrated for the example of the calculation of the photoeffect cross section from an arbitrary shell without the dipole approximation.

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English version:
Theoretical and Mathematical Physics, 1976, 26:1, 26–30

Received: 14.11.1974
Revised: 14.07.1975

Citation: V. S. Polikanov, “Method of calculating matrix elements and cross sections with wave functions with definite angular momentum”, TMF, 26:1 (1976), 42–47; Theoret. and Math. Phys., 26:1 (1976), 26–30

Citation in format AMSBIB
\Bibitem{Pol76}
\by V.~S.~Polikanov
\paper Method of calculating matrix elements and cross sections with wave functions with definite angular momentum
\jour TMF
\yr 1976
\vol 26
\issue 1
\pages 42--47
\mathnet{http://mi.mathnet.ru/tmf3166}
\transl
\jour Theoret. and Math. Phys.
\yr 1976
\vol 26
\issue 1
\pages 26--30
\crossref{https://doi.org/10.1007/BF01038253}


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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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