Quantum-mechanical effects in a linear time-dependent potential

Details Quantum-mechanical effects in a linear time-dependent potential Quantum-mechanical effects in a linear time-dependent potential

2011-12-27

arxiv.org/abs/1112.6026v1

Eur. Phys. J. D 57, 3-7 (2010)

Physics

Quantum Physics

9 pages, 6 figures

Scientific paper

10.1140/epjd/e2009-00318-y

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 $x \leq 0$, (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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