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Open Quantum Systems Decoherence
Quantum Simulation
Quantum effective force in an expanding infinite square-well potential and Bohmian perspective
arXiv
Authors: S. V. Mousavi
Year
2011
Paper ID
29692
Status
Preprint
Abstract Read
~2 min
Abstract Words
105
Citations
N/A
Abstract
The Schrödinger 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 apart from a minus sign is equal to the expectation value of the gradient of the quantum potential for vanishing at the walls boundary condition. Variation of this force with time is studied. A selection of Bohmian trajectories of the confined particle is also computed.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- The Schrödinger equation is solved for the case of a particle confined to a small region of a box with infinite walls.
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