Nonlocal phases of local quantum mechanical wavefunctions in static and time-dependent Aharonov–Bohm experiments

DOI10.1088/1751-8113/43/35/354019zbMath1196.81113arXiv1009.3496OpenAlexW1975388433MaRDI QIDQ4930090

K. Moulopoulos

Publication date: 28 September 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.3496

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (5)

The ``forgotten pseudomomenta and gauge changes in generalized Landau level problems: spatially nonuniform magnetic and temporally varying electric fields ⋮ Time-dependent Aharonov-Bohm effect on the noncommutative space ⋮ Non-abelian Aharonov-Bohm effect with the time-dependent gauge fields ⋮ Geometric phases for classical and quantum dynamics: Hannay angle and Berry phase for loops on a torus ⋮ Topological proximity effect: a gauge influence from distant fields on planar quantum-coherent systems

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