Geodesic
Transformation Operators for Perturbed Harmonic Oscillators
Matematičeskie zametki, Tome 105 (2019) no. 5, pp. 740-746

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The equation describing a perturbed harmonic oscillator is considered. Using transformation operators, we obtain representations of solutions of this equation with conditions at infinity. Estimates for the kernels of the transformation operators are obtained.
Keywords: perturbed harmonic oscillators, Schrödinger equation, transformation operator, second-order hyperbolic equation, Riemann function. 
@article{MZM_2019_105_5_a7,
     author = {G. M. Masmaliev and A. Kh. Khanmamedov},
     title = {Transformation {Operators} for {Perturbed} {Harmonic} {Oscillators}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {740--746},
     publisher = {mathdoc},
     volume = {105},
     number = {5},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2019_105_5_a7/}
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G. M. Masmaliev; A. Kh. Khanmamedov. Transformation Operators for Perturbed Harmonic Oscillators. Matematičeskie zametki, Tome 105 (2019) no. 5, pp. 740-746. http://geodesic.mathdoc.fr/item/MZM_2019_105_5_a7/