L Rebollo-Neira and S Jain 2005 J. Phys. A: Math. Gen. 38 L293 doi:10.1088/0305-4470/38/17/L03
On the truncation of the harmonic oscillator wavepacket
FREE ARTICLEL Rebollo-Neira and S Jain
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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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Issue 17 (29 April 2005)
Received 2 February 2005, in final form 17 March 2005
Published 13 April 2005
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On the truncation of the harmonic oscillator wavepacket
L Rebollo-Neira and S Jain 2005 J. Phys. A: Math. Gen. 38 L293
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