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Geometric phase in the wave function is important with regard to quantumnon-locality and adiabatic evolution. We study the confinement of a particle bythree-dimensional isotropically moving walls, of relevance to experimentaltrapping techniques, via a proposed approach that explains the physical originof the geometric Dirac phase induced in the wave function. This phase dependsonly on the relative rate of change of the spatial scale factor. The approachalso yields the class of external potentials that replicate adiabatic evolutionin finite time. As illustrative examples, we consider uniform and acceleratingwalls, and the case where the Dirac phase is due to cosmic expansion.

Dirac phase and replicating adiabaticity in isotropically moving wall confinement