Homotopy and path integrals in the time-dependent Aharonov-Bohm effect

DOI10.1007/s10701-011-9559-yzbMath1235.81102OpenAlexW1977539306MaRDI QIDQ763229

Bernard Gaveau, Lawrence S. Schulman, Antigone M. Nounou

Publication date: 9 March 2012

Published in: Foundations of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10701-011-9559-y

zbMATH Keywords

path integralvector potentialgauge theoryhomotopyessential self-adjointnessAharonov-Bohm effectholonomiestime-dependence

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Path integrals in quantum mechanics (81S40) 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)

Related Items

On the noncommutative Aharonov-Bohm effects ⋮ On the time-dependent Aharonov-Bohm effect ⋮ Direct calculation of time varying Aharonov-Bohm effect ⋮ Geometric phases for classical and quantum dynamics: Hannay angle and Berry phase for loops on a torus

Cites Work

• Holonomy interpretation and time: an incompatible match? A critical discussion of R. Healey's gauging what's real: the conceptual foundations of contemporary gauge theories
• Essential self-adjointness: implications for determinism and the classical-quantum correspondence
• Significance of Electromagnetic Potentials in the Quantum Theory
• Further Considerations on Electromagnetic Potentials in the Quantum Theory
• Remarks on the Possibility of Quantum Electrodynamics without Potentials
• Modeling and Control of Complex Physical Systems
• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
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