Construct · 1 fields · 4 citations

Aharonov-Bohm effect: a standalone construct

One name. One construct. A landmark on the map.

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Aharonov-Bohmeffect1 CONSTRUCTAharonov-Bohm effectAHARONOV-BOHM · PHASE

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Physics

The quantum phase shift a charged particle acquires from electromagnetic potentials in a field-free region

Yakir Aharonov and David Bohm's 1959 paper Significance of Electromagnetic Potentials in the Quantum Theory named the effect in which a charged particle, such as an electron, acquires a measurable shift in its quantum phase (the internal clock-like angle that governs how its wave interferes with itself) while travelling through a region where the electric and magnetic fields are zero but the electromagnetic potentials are not, a result W. Ehrenberg and R. E. Siday had already derived a decade earlier in 1949. The finding was striking because classical physics holds that only the fields, not the potentials, can act on a particle, so a phase shift arising in a field-free region shows that the potentials carry physical consequences in quantum mechanics. R. G. Chambers reported the first experimental sign of the shift in 1960 using an electron interferometer and a fine magnetic whisker, and Akira Tonomura and colleagues confirmed it in 1986 with the magnetic flux fully enclosed and shielded from the electron path. As a landmark the effect is measured by the displacement of the fringes in an electron interference pattern and scales with the enclosed magnetic flux, and it established gauge potentials, together with the topology of the space a particle can reach, as observable elements of quantum theory rather than mere mathematical bookkeeping.[1][2][3][4]

Unit
A quantum-mechanical phenomenon: a phase shift in a charged particle's wavefunction, measured in radians and proportional to the enclosed magnetic flux
Recovery means
Not applicable
Measured by
Detected as a displacement of the fringes in an electron interference pattern, with the shift proportional to the magnetic flux enclosed between the two electron paths

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Nearby constructs

phase5 fields · 6 citationsjingle · one word, five constructsgauge2 fields · 4 citationsjingle · one word, two constructspotential4 fields · 4 citationsjingle · one word, four constructs

References

  1. Aharonov, Y., & Bohm, D. (1959). Significance of electromagnetic potentials in the quantum theory. Physical Review, 115(3), 485–491. https://doi.org/10.1103/PhysRev.115.485
  2. Ehrenberg, W., & Siday, R. E. (1949). The refractive index in electron optics and the principles of dynamics. Proceedings of the Physical Society. Section B, 62(1), 8–21. https://doi.org/10.1088/0370-1301/62/1/303
  3. Chambers, R. G. (1960). Shift of an electron interference pattern by enclosed magnetic flux. Physical Review Letters, 5(1), 3–5. https://doi.org/10.1103/PhysRevLett.5.3
  4. Tonomura, A., Osakabe, N., Matsuda, T., Kawasaki, T., Endo, J., Yano, S., & Yamada, H. (1986). Evidence for Aharonov-Bohm effect with magnetic field completely shielded from electron wave. Physical Review Letters, 56(8), 792–795. https://doi.org/10.1103/PhysRevLett.56.792

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