Geodesic
On an approximate analytical method for solving the Schr\"odinger equation with the Gaussian potential
Problemy fiziki, matematiki i tehniki, no. 4 (2019), pp. 7-10

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The approximate analytical method for solving the Schrödinger equation with the Gaussian potential is proposed. The essence of the method is to represent the wave function as a superposition of wave functions of exact solving problem Also, in order to control the accuracy, the problem was solved numerically in the momentum representation.
Keywords: Schrödinger equation, integral equation, wave function, Gaussian potential, harmonic oscillator. 
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     title = {On an approximate analytical method for solving the {Schr\"odinger} equation with the {Gaussian} potential},
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Yu. A. Grishechkin; A. V. Pavlenko; V. N. Kapshai. On an approximate analytical method for solving the Schr\"odinger equation with the Gaussian potential. Problemy fiziki, matematiki i tehniki, no. 4 (2019), pp. 7-10. http://geodesic.mathdoc.fr/item/PFMT_2019_4_a0/