Summary
In this work we indicate a class of Schrödinger-liko equations with a harmonic potential and time-dependent coefficients which can be solved exactly. The key-point of the technique proposed here is the analysis of a differential-difference equation, known in the literature as harmonic Raman-Nath equation.
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Dattoli, G., Dipace, A., Fornetti, G. et al. Differential-difference equations of the Raman-Nath Type and Schrödinger-like equations with a time-dependent harmonic potential: Exact solutions. Lett. Nuovo Cimento 43, 176–180 (1985). https://doi.org/10.1007/BF02746975
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DOI: https://doi.org/10.1007/BF02746975