scientific article; zbMATH DE number 7579473
Publication date: 31 August 2022
Full work available at URL: https://diffjournal.spbu.ru/EN/numbers/2022.1/article.1.6.html
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Aharonov-Bohm effectcovariant derivativelocal symmetriesinteraction processesmathematical gauge theory
Applications of Lie groups to the sciences; explicit representations (22E70) Phase transitions (general) in equilibrium statistical mechanics (82B26) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Lagrange's equations (70H03) Minkowski geometries in nonlinear incidence geometry (51B20) Quantum state spaces, operational and probabilistic concepts (81P16)
Cites Work
- Significance of Electromagnetic Potentials in the Quantum Theory
- Aharonov-Bohm beam deflection: Shelankov's formula, exact solution, asymptotics and an optical analogue
- General relativity with spin and torsion: Foundations and prospects
- The Refractive Index in Electron Optics and the Principles of Dynamics
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