State reconstruction of wave packets moving in time-dependent potentials and the existence of Wronskian pairs

Citation
U. Leonhardt et al., State reconstruction of wave packets moving in time-dependent potentials and the existence of Wronskian pairs, J PHYS A, 32(2), 1999, pp. 411-418
Citations number
20
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
32
Issue
2
Year of publication
1999
Pages
411 - 418
Database
ISI
SICI code
0305-4470(19990115)32:2<411:SROWPM>2.0.ZU;2-O
Abstract
We determine a class of time-dependent potentials that support the state re construction of one-dimensional wave packets. For this we extend the projec tion method (Leonhardt U and Raymer M G 1996 Phys. Rev. Lett. 76 1985) to e xplicitly time-dependent situations. We require the existence of Wronskian pairs (regular and irregular wavefunctions) and analyse the consequences on the possible potentials.