Quantum-mechanical effects in a linear time-dependent potential
Abstract
The solution of the time-dependent Schr\"odinger 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 the quantum statistic is presented.
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