Fejer average and the short term behaviors of a wave packet in infinite square well

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dc.creatorLiu, Quan-Hui
dc.creatorQi, Wei-Hong
dc.creatorFu, Li-Ping
dc.creatorHu, Bambi
dc.date2000-11-13
dc.date.accessioned2026-07-07T06:01:09Z
dc.date.available2026-07-07T06:01:09Z
dc.descriptionThe first two period behaviors of a quantum wave packet in an infinite square well potential is studied. First, the short term behavior of expectation value of a quantity on an equally weighted wave packet (EWWP) is in classical limit proved to reproduce the Fej'{e}r average of the Fourier series decomposition of the corresponding classical quantity. Second, in order to best mimic the classical behavior, a nice relation between number $N$ of stationary states in the EWWP with the average quantum number $n$ as $N\thickapprox \sqrt{n}$ is revealed. Third, since the Fejér average can only approximate the classical quantity, it carries an uncertainty which in large quantum number case is almost the same as the quantum uncertainty.
dc.descriptionRevtex, 4 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0011048
dc.identifierhttp://arxiv.org/abs/quant-ph/0011048
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/89173
dc.subjectQuantum Physics
dc.titleFejer average and the short term behaviors of a wave packet in infinite square well
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