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Comment on "Solutions of the Schrödinger equation for the time-dependent linear potential''

Jian Qi Shen
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Abstract

We show that the solution obtained by Bekkar {\it et al.} in their comment [Phys. Rev. A {\bf 68}, 016101 (2003)] on Guedes's work of solving the quantum system with a time-dependent linear potential is still {\it not} the {\it general} one of the Schrödinger equation. It is concluded that Bekkar {\it et al.}'s solution (corresponding to the linear Lewis-Riesenfeld invariant) and our solution (corresponding to the quadratic-form Lewis-Riesenfeld invariant) presented here will constitute together a complete set of solutions (general solutions) of the time-dependent Schrödinger equation of the system under consideration.

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Jian Qi Shen. 2003-11-01. Comment on "Solutions of the Schrödinger equation for the time-dependent linear potential''. https://arxiv.org/abs/quant-ph/0311002

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