Geodesic
Approximate analytical method for solving the schrödinger equation with the Gaussian potential in the momentum representation
Problemy fiziki, matematiki i tehniki, no. 3 (2020), pp. 18-21

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The approximate analytical method is proposed for solving the Schrödinger equation with the Gaussian potential in the momentum representation. The idea of the method is to represent the desired wave function in the form of a superposition of wave functions of the three-dimensional harmonic oscillator in the momentum representation. Solutions are found in the case of coupled states.
Keywords: Schrödinger equation, wave function, Gaussian potential, harmonic oscillator, coupled states. 
@article{PFMT_2020_3_a2,
     author = {Yu. A. Grishechkin and A. V. Paulenko},
     title = {Approximate analytical method for solving the schr\"odinger equation with the {Gaussian} potential in the momentum representation},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {18--21},
     publisher = {mathdoc},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2020_3_a2/}
}
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Yu. A. Grishechkin; A. V. Paulenko. Approximate analytical method for solving the schrödinger equation with the Gaussian potential in the momentum representation. Problemy fiziki, matematiki i tehniki, no. 3 (2020), pp. 18-21. http://geodesic.mathdoc.fr/item/PFMT_2020_3_a2/