Journal of Prime Research in Mathematics
Vol. 1 (2006), Issue 1, pp. 208 – 216
ISSN: 1817-3462 (Online) 1818-5495 (Print)
ISSN: 1817-3462 (Online) 1818-5495 (Print)
Open-loop control of quantum particle motion: effective splitting in momentum space
Babar Ahmad
The School of Mathematical Science, Government College University, Lahore, 68-B,
New Muslim Town, Lahore, Pakistan.
Sergei Borisenok
The School of Mathematical Science, Government College University, Lahore, 68-B,
New Muslim Town, Lahore, Pakistan.
Department of Physics, Herzen State University, 48 Moika River Embankment, 191186
St. Petersburg, Russia.
Saifullah
The School of Mathematical Science, Government College University, Lahore, 68-B,
New Muslim Town, Lahore, Pakistan.
Yuri Rozhdestvensky
Institute of Laser Physics, 12 Birzhevaya Line, 199034 St. Petersburg, Russia.
\(^{2}\)Corresponding Author: sebori@mail.ru
Copyright © 2006 Babar Ahmad, Sergei Borisenok, Saifullah, Yuri Rozhdestvensky. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Published: December, 2006.
Abstract
In this paper an effective quantum particle beam-splitter in the momentum space is realized in the frame of open-loop control scheme. We demonstrate for small interaction time that the splitting effect \(±40\hbar k\) with summarized relative intensity in both main components is about 50 per cent from initial intensity of the atomic beam.
Keywords:
Open-loop control, beam splitter.