Physical Review A

Exact wave function of a harmonic plus an inverse harmonic potential with time-dependent mass and frequency

Chung‐In Um, Shang-Moon Shin, Kyu-Hwang Yeon, Thomas F. George

Published Aug 1, 1998• 17 citations

Abstract

Using canonical and unitary transformations and the Lewis-Risenfeld invariant method, the exact Schr"odinger wave function for a harmonic plus inverse harmonic potential with time-dependent mass and frequency is obtained analytically.

DOI: 10.1103/physreva.58.1574

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Reply to “Comment on Exact wave function of a harmonic plus an inverse harmonic potential with time-dependent mass and frequency”

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In reply to the Comment by Maamache on Phys. Rev. A 58, 1574 (1998), it is shown first that the $\mathrm{M\ifmmode\ddot\else\textasciidieresis\fi{}}(t)$ terms are canceled and then that the wave function [Eq. (34)] is an eigenfunction of the invariant of Eq. (19).

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