Geodesic
Method of calculating matrix elements and cross sections with wave functions with definite angular momentum
Teoretičeskaâ i matematičeskaâ fizika, Tome 26 (1976) no. 1, pp. 42-47 Cet article a éte moissonné depuis la source Math-Net.Ru

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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 $\text{Eq}$.(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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     author = {V. S. Polikanov},
     title = {Method of calculating matrix elements and cross sections with wave functions with definite angular momentum},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {42--47},
     year = {1976},
     volume = {26},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1976_26_1_a3/}
}
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V. S. Polikanov. Method of calculating matrix elements and cross sections with wave functions with definite angular momentum. Teoretičeskaâ i matematičeskaâ fizika, Tome 26 (1976) no. 1, pp. 42-47. http://geodesic.mathdoc.fr/item/TMF_1976_26_1_a3/

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[2] I. S. Gradshtein, I. M. Ryzhik, Tablitsy integralov, summ, ryadov i proizvedenii, GIFML, 1963 | MR

[3] R. H. Pratt, Rev. Mod. Phys., 2 (1973), 273 | DOI

[4] A. Zommerfeld, Stroenie atoma i spektry, IL, 1957 | MR

[5] G. Bete, E. Solpiter, Kvantovaya mekhanika atomov s odnim i dvumya elektronami, GIFML, 1960