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arXiv quant-ph/0311002quant-ph
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对“含时线性势的薛定谔方程的解”一文的评论

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

Jian Qi Shen

摘要:

我们证明了Bekkar { \it et al.}在他们对Guedes求解含时线性势量子系统的工作的评论[Phys. Rev. A { \bf 68},016101(2003)]中,仍然是薛定谔方程的{\it not}{ \it general}之一。结论是Bekkar { \it et al.}的解(对应于线性Lewis-Riesenfeld不变量)和我们的解(对应于二次型Lewis-Riesenfeld不变量)将共同构成所考虑系统的含时薛定谔方程的一组完整的解(通解)。

英文摘要:

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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