2011/11/30 by S. V. Mousavi, S V Mousavi · 1 citation
Mathematics · Physics and Astronomy · #Conservative force #Particle (ecology) #Particle in a box #Perspective (graphical) #Quantum #Quantum Mechanics and Applications #Quantum and Classical Electrodynamics #Quantum particle #Quantum potential #Sign (mathematics) #Spectral Theory in Mathematical Physics #Type (biology) #quant-ph
paper · pdf · doi:10.1088/0031-8949/86/03/035004
published as Phys. Scr. 86 (2012) 035004 · 7 figures, Accepted by Physica Scripta
arxiv created 2012/07/30 · openalex publication_date 2012/08/24 · arxiv updated 2012/08/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The Schr"odinger 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.