Volume 83, Number 3, August 2008
|Number of page(s)||4|
|Published online||01 July 2008|
The general potential in which Airy wave packets remain nonspreading
Department of Physics, Soochow University - Taipei, Taiwan, 111, ROC
Corresponding author: firstname.lastname@example.org
Accepted: 13 June 2008
We show that for Hamiltonian of the form, H = +, the general potential for which Airy packets remain nonspreading under time evolution can only be of the form , where and are real functions. We derive rules for constructing nonspreading Airy packets from this general potential. We also consider normalizable packets obtained from Airy packet times a converging factor, such as , with . We show that there is no potential which sustains nonspreading wave packets of this kind.
PACS: 03.65.-w – Quantum mechanics / 03.65.Ge – Solutions of wave equations: bound states
© EPLA, 2008
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