On the truncation of the harmonic oscillator wavepacket

DOI10.1088/0305-4470/38/17/L03zbMATH Open1065.81047arXivquant-ph/0504229OpenAlexW3121967153MaRDI QIDQ4678042

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Publication date: 23 May 2005

Published in: (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/quant-ph/0504229

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