Quantum particle in an expanding box and Bohm trajectories

Details Quantum particle in an expanding box and Bohm trajectories Quantum particle in an expanding box and Bohm trajectories

2011-11-16

arxiv.org/abs/1111.3962v1

Physics

Quantum Physics

Scientific paper

The Schr\"{o}dinger equation is solved for the case of a particle confined to a small region of a box with infinite walls. If walls of the well are moved, then, due to an effective quantum nonlocal interaction with the boundary, even though the particle is nowhere near the walls, it will be affected. It is shown that this force is equal to the expectation value of the gradient of the {\it quantum potential}. Variation of this force with time is studied. A selection of Bohmian trajectories of the confined particle is also computed.

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