| Issue |
Europhys. Lett.
Volume 72, Number 3, November 2005
|
|
|---|---|---|
| Page(s) | 341 - 347 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2005-10264-2 | |
| Published online | 05 October 2005 | |
Generic short-time propagation of sharp-boundaries wave packets
1
Department of Electrical and Electronics Engineering College of Judea and Samaria - Ariel, Israel
2
Kibbutzim College of Education, Ramat-Aviv - 104 Namir Road 69978 Tel-Aviv, Israel
Received:
12
August
2005
Accepted:
15
September
2005
A general solution to the “shutter” problem is presented. The propagation
of an arbitrary initially bounded wave function is investigated, and the
general solution for any such function is formulated. It is shown that the
exact solution can be written as an expression that depends only on the values of
the function (and its derivatives) at the boundaries. In particular, it is
shown that at short times (
, where x is the distance to
the boundaries) the wave function propagation depends only on the wave function's
values (or its derivatives) at the boundaries of the region. Finally, we
generalize these findings to a non-singular wave function (i.e., for
wave packets with finite-width boundaries) and suggest an experimental
verification.
PACS: 03.75.-b – Matter waves / 03.65.-w – Quantum mechanics / 03.65.Ge – Solutions of wave equations: bound states
© EDP Sciences, 2005
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.