Eur. Phys. J. D 57, 3-7 (2010)
https://doi.org/10.1140/epjd/e2009-00318-y

Quantum-mechanical effects in a linear time-dependent potential

Department of Physics, The University of Qom, P.O. Box 37165, Qom, Iran

Corresponding author: vmousavi@qom.ac.ir

Received: 30 September 2009
Revised: 30 October 2009
Published online: 22 December 2009

Abstract

The solution of the time-dependent Schrödinger equation is discussed for a particle confined in half-space x>0 with a linear potential V(x)=Kx in the following situations: (a) sudden removal of the wall and switching on the linear potential V(x)=Kx at x ≤0, (b) sudden removal of the wall and the potential and (c) sudden removal of the potential. A brief discussion of quantum statistics is presented.