Quantum-mechanical effects in a linear time-dependent potential

The solution of the time-dependent Schrödinger equation is discussed fora 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.