Abstract
The inverse approach method is further developed with the purpose to construct more complex analytically integrable one-dimensional Schrödinger-type equations based on simpler ones. The centrifugal and Coulomb potentials are taken into consideration. The analysis is presented by the example of the problem of particle scattering by the nuclear optical potential. The dependence of the constructed potential on the energy and angular momentum appears negligible.
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Yu. K. Khokhlov, Kratkie Soobshcheniya po Fizike FIAN, No. 6, 38 (2002) [Bulletin of the Lebedev Physics Institute, No. 6, 33 (2002)].
Yu. K. Khokhlov, Kratkie Soobshcheniya po Fizike FIAN, No. 5, 20 (2006) [Bulletin of the Lebedev Physics Institute, No. 5, 16 (2006)].
S. Flügge, Practical Quantum Mechanics (Springer, Berlin, 1971; Mir, Moscow, 1974).
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Original Russian Text © Yu.K. Khokhlov, 2008, published in Kratkie Soobshcheniya po Fizike, 2008, Vol. 35, No. 9, pp. 27–33.
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Khokhlov, Y.K. Some piecewise-analytical solutions to the one-dimensional Schrödinger equation II. Bull. Lebedev Phys. Inst. 35, 271–275 (2008). https://doi.org/10.3103/S1068335608090042
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DOI: https://doi.org/10.3103/S1068335608090042