Geodesic
Zero-range potentials as an algorithm for solution of quantum scattering problems
Numerical methods and programming, Tome 5 (2004) no. 1, pp. 83-95

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It is shown that zero-range potentials can successfully be used to construct a numerical algorithm for the solution of 1D scattering problems. This statement is illustrated with a number of test examples. The class of separable potentials close to the zero-range potentials is proposed, which allows one to solve 3D scattering problems and, at the same time, to keep the wave function confined.
Keywords: algorithm, separable potentials, scattering problem, zero-range potential, wave functions. 
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     author = {V. V. Sokolovskii and Yu. M. Popov and A. A. Gusev and S. I. Vinitsky},
     title = {Zero-range potentials as an algorithm for solution of quantum scattering problems},
     journal = {Numerical methods and programming},
     pages = {83--95},
     publisher = {mathdoc},
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     number = {1},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2004_5_1_a7/}
}
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V. V. Sokolovskii; Yu. M. Popov; A. A. Gusev; S. I. Vinitsky. Zero-range potentials as an algorithm for solution of quantum scattering problems. Numerical methods and programming, Tome 5 (2004) no. 1, pp. 83-95. http://geodesic.mathdoc.fr/item/VMP_2004_5_1_a7/