On the truncation of the harmonic oscillator wavepacket

Details On the truncation of the harmonic oscillator wavepacket On the truncation of the harmonic oscillator wavepacket

2005-04-29

arxiv.org/abs/quant-ph/0504229v1

J. Phys. A: Math. Gen. 38 L293-L299 (2005)

Physics

Quantum Physics

Scientific paper

10.1088/0305-4470/38/17/L03

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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