| Issue |
EPL
Volume 83, Number 3, August 2008
|
|
|---|---|---|
| Article Number | 30002 | |
| Number of page(s) | 4 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/83/30002 | |
| 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: cllin@mail.scu.edu.tw
Received:
6
June
2008
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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