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On the truncation of the harmonic oscillator wavepacket

L Rebollo-Neira·S Jain
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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.

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L Rebollo-Neira, S Jain. 2005-04-29. On the truncation of the harmonic oscillator wavepacket. https://doi.org/10.1088/0305-4470/38/17/l03

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