Rebollo-Neira, L. and Jain, S. (2005). On the truncation of the harmonic oscillator wavepacket. Journal of Physics A: Mathematical and General, 38 (17),
Abstract
We present an interesting result regarding the implication of truncating the wavepacket of the harmonic oscillator. We show that disregarding the non-significant tails of a function which is the superposition of eigenfunctions of the harmonic oscillator has a remarkable consequence: namely, there exist infinitely many different superpositions giving rise to the same function on the interval. Uniqueness, in the case of a wavepacket, is restored by a postulate of quantum mechanics.
| Publication DOI: | https://doi.org/10.1088/0305-4470/38/17/L03 |
|---|---|
| Divisions: | College of Engineering & Physical Sciences > Systems analytics research institute (SARI) Aston University (General) |
| Additional Information: | ©2005 IOP Publishing Ltd. After the Embargo Period, the full text of the Accepted Manuscript may be made available on the non-commercial repository for anyone with an internet connection to read and download. After the Embargo Period a CC BY-NC-ND 3.0 licence applies to the Accepted Manuscript, in which case it may then only be posted under that CC BY-NC-ND licence provided that all the terms of the licence are adhered to, and any copyright notice and any cover sheet applied by IOP is not deleted or modified. |
| Uncontrolled Keywords: | Mathematical Physics,General Physics and Astronomy,Statistical and Nonlinear Physics |
| Publication ISSN: | 0305-4470 |
| Last Modified: | 14 Aug 2025 07:15 |
| Date Deposited: | 06 Mar 2019 11:16 |
| Full Text Link: | |
| Related URLs: |
http://www.scop ... tnerID=8YFLogxK
(Scopus URL) https://iopscie ... /38/17/L03/meta (Publisher URL) |
PURE Output Type: | Article |
| Published Date: | 2005-04-29 |
| Authors: |
Rebollo-Neira, L.
(
0000-0002-7420-8977)
Jain, S. |
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Version: Accepted Version
License: Creative Commons Attribution Non-commercial No Derivatives
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