Trapping population inside a potential well

by using laser field


G. Rahali, A. Makhoute*, M. Bakkali

1 UFR de Physique Atomique, Moléculaire et Optique Appliquée,

Faculté des Sciences, Université Moulay Ismaïl,

B.P. 11201, Zitoune, Meknès, Morocco

* Corresponding author. E-mail:

Received: 09 January 2006; revised version accepted: 11 July 2007



     We have studied the propagation of the wave packet of an electron moving inside a potential well in presence of laser field. The detailed calculations of the wave-functions are performed by resolving one-dimensional time dependent Schrödinger equation by using a semi-implicit Crank-Nichelson discretization scheme. The numerical results for an electron embedded in the combined field of the Colombian potential well and of the laser field are presented. We present the evolution of the wave packet as function of time inside a space box of l=200 au of length, then we discuss the influence of the laser frequency on the population trapped inside the well.


Keywords - Wave packet; Potential well; Laser field; Schrödinger equation; Crank-Nichelson scheme; Colombian potential; Trapping population.

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