TY - JOUR
T1 - On the truncation of the harmonic oscillator wavepacket
AU - Rebollo-Neira, L.
AU - Jain, S.
N1 - ©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.
PY - 2005/4/29
Y1 - 2005/4/29
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=24144459497&partnerID=8YFLogxK
UR - https://iopscience.iop.org/article/10.1088/0305-4470/38/17/L03/meta
U2 - 10.1088/0305-4470/38/17/L03
DO - 10.1088/0305-4470/38/17/L03
M3 - Article
AN - SCOPUS:24144459497
SN - 0305-4470
VL - 38
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
IS - 17
ER -