Aharonov-Bohm Effect: Gauge Invariance Consequence

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SUMMARY

The Aharonov-Bohm effect demonstrates the deflection of a charged particle due to the vector potential A in a region devoid of a magnetic B field. This phenomenon illustrates that gauge invariance (GI) transcends classical interpretations, necessitating a modification of the quantum mechanical (QM) wave function. The discussion emphasizes the fundamental implications of gauge invariance in quantum mechanics, highlighting the interplay between classical and quantum physics.

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  • Understanding of quantum mechanics principles
  • Familiarity with gauge invariance concepts
  • Knowledge of vector potentials in electromagnetism
  • Basic grasp of wave function behavior in quantum systems
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Physicists, quantum mechanics students, and researchers interested in the foundational aspects of gauge theory and its implications in quantum physics.

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What is the Aharonov-Bohm effect and why it is a conseguence of the gauge invariance?
 
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have you read wiki-article and similar?
 
The A-B effect is the deflection of a charged particle by the vector potential A in a region where there is no magnetic B field. It shows that GI cannot be purely classical, but must also involve a change in the QM wave function.
 

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