# Aharonov-Bohm Effect

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

The Aharonov–Bohm effect is a quantum-mechanical phenomenon in which an electrically charged particle is influenced by the vector potential in regions in which the magnetic field is zero. A beam of monoenergetic electrons passes through a double slit on opposite sides of a solenoid. The expected interference pattern of the waves going through the two slits is shifted by an additional phase difference when the solenoid encloses a magnetic field, despite the magnetic field being zero in the regions through which the electrons pass. This can be observed experimentally by the horizontal displacement of the interference fringes.

[more]
Contributed by: S. M. Blinder (March 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

Reference: Y. Aharonov and D. Bohm, "Significance of Electromagnetic Potentials in the Quantum Theory," *Physical Review Series II*, 115, 1959 pp. 485–491.

## Permanent Citation

"Aharonov-Bohm Effect"

http://demonstrations.wolfram.com/AharonovBohmEffect/

Wolfram Demonstrations Project

Published: March 7 2011