Volume 86, Number 2, April 2009
Article Number 20007
Number of page(s) 5
Section General
Published online 06 May 2009
EPL, 86 (2009) 20007
DOI: 10.1209/0295-5075/86/20007

Quantum particle displacement by a moving localized potential trap

E. Granot and A. Marchewka

Department of Electrical and Electronics Engineering, Ariel University Center of Samaria - Ariel, Israel

received 9 December 2008; accepted in final form 26 March 2009; published April 2009
published online 6 May 2009

We describe the dynamics of a bound state of an attractive $\delta $-well under displacement of the potential. Exact analytical results are presented for the suddenly moved potential. Since this is a quantum system, only a fraction of the initially confined wave function remains confined to the moving potential. However, it is shown that besides the probability to remain confined to the moving barrier and the probability to remain in the initial position, there is also a certain probability for the particle to move at double speed. A quasi-classical interpretation for this effect is suggested. The temporal and spectral dynamics of each one of the scenarios is investigated.

03.65.-w - Quantum mechanics.
03.65.Nk - Scattering theory.
03.65.Xp - Tunneling, traversal time, quantum Zeno dynamics.

© EPLA 2009