<script type="text/javascript">
<!--
document.write('<div id="oa_widget"></div>');
document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=undefined&type=result"></script>');
-->
</script>

COPY SCRIPT

For further information contact us at helpdesk@openaire.eu

On the truncation of the harmonic oscillator wavepacket

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 13 Apr 2005Embargo end date: 01 Jan 2005Publisher:IOP PublishingJournal:Journal of Physics A: Mathematical and General, volume 38, pages L293-L299 (issn: 0305-4470, eissn: 1361-6447,

Authors: Laura Rebollo-Neira; S Jain;

doi: 10.1088/0305-4470/38/17/l03 , 10.48550/arxiv.quant-ph/0504229

arXiv: http://arxiv.org/abs/quant-ph/0504229

On the truncation of the harmonic oscillator wavepacket

- Summary
- Subjects
- Metrics

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.

Related Organizations

Aston University
United Kingdom

Keywords

Quantum Physics, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, FOS: Physical sciences, General and philosophical questions in quantum theory, Quantum Physics (quant-ph)

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

Average

Green

bronze

Fields of Science (3) View all

Fields of Science