Chyi-Lung Lin et al 2008 EPL 83 30002 doi:10.1209/0295-5075/83/30002
Chyi-Lung Lin, Te-Chih Hsiung and Meng-Jie Huang
Show affiliationsWe show that for Hamiltonian of the form, H=c(t)∂x∂x+V(x,t), the general potential V(x, t) for which Airy packets remain nonspreading under time evolution can only be of the form V(x,t)=p(t)x+q(t), where p(t) and q(t) 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 eβx, with β> 0. We show that there is no potential which sustains nonspreading wave packets of this kind.
Issue 3 (August 2008)
Received 6 June 2008, accepted for publication 13 June 2008
Published 1 July 2008
Chyi-Lung Lin et al 2008 EPL 83 30002
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