dorsal/arxiv
View SchemaComment on "Solutions of the Schr\"{o}dinger equation for the time-dependent linear potential''
| Authors | Jian Qi Shen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0311002 |
| URL | https://arxiv.org/abs/quant-ph/0311002 |
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 Schr\"{o}dinger 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 Schr\"{o}dinger equation of the system under consideration.
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"date_created": "2026-03-02T18:02:03.198000Z",
"date_modified": "2026-03-02T18:02:03.198000Z",
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"abstract": "We show that the solution obtained by Bekkar {\\it et al.} in their comment\n[Phys. Rev. A {\\bf 68}, 016101 (2003)] on Guedes\u0027s work of solving the quantum\nsystem with a time-dependent linear potential is still {\\it not} the {\\it\ngeneral} one of the Schr\\\"{o}dinger equation. It is concluded that Bekkar {\\it\net al.}\u0027s solution (corresponding to the linear Lewis-Riesenfeld invariant) and\nour solution (corresponding to the quadratic-form Lewis-Riesenfeld invariant)\npresented here will constitute together a complete set of solutions (general\nsolutions) of the time-dependent Schr\\\"{o}dinger equation of the system under\nconsideration.",
"arxiv_id": "quant-ph/0311002",
"authors": [
"Jian Qi Shen"
],
"categories": [
"quant-ph"
],
"title": "Comment on \"Solutions of the Schr\\\"{o}dinger equation for the time-dependent linear potential\u0027\u0027",
"url": "https://arxiv.org/abs/quant-ph/0311002"
},
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