Physics:Quantum Aharonov-Bohm effect: Difference between revisions
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{{Quantum article nav|previous=Physics:Quantum Berry phase|previous label=Berry phase|next=Physics:Quantum Scattering theory|next label=Scattering theory}} | {{Quantum article nav|previous=Physics:Quantum Berry phase|previous label=Berry phase|next=Physics:Quantum Scattering theory|next label=Scattering theory}} | ||
[[File:Quantum_aharonov_bohm_effect_yellow.png|thumb|right|320px|Aharonov-Bohm phase shift around a shielded magnetic flux.]] | |||
The '''Quantum Aharonov-Bohm effect''' is a quantum phenomenon in which charged particles are affected by electromagnetic potentials even in regions where the classical electric and magnetic fields vanish. It demonstrates that potentials can have direct physical significance in [[Physics:Quantum mechanics|quantum mechanics]].<ref>{{cite web |url=https://en.wikipedia.org/wiki/Aharonov%E2%80%93Bohm_effect |title=Aharonov-Bohm effect |publisher=Wikipedia |access-date=20 May 2026}}</ref> | The '''Quantum Aharonov-Bohm effect''' is a quantum phenomenon in which charged particles are affected by electromagnetic potentials even in regions where the classical electric and magnetic fields vanish. It demonstrates that potentials can have direct physical significance in [[Physics:Quantum mechanics|quantum mechanics]].<ref>{{cite web |url=https://en.wikipedia.org/wiki/Aharonov%E2%80%93Bohm_effect |title=Aharonov-Bohm effect |publisher=Wikipedia |access-date=20 May 2026}}</ref> | ||
In the magnetic version, an electron wave is split into two paths around a confined magnetic flux. The electrons travel through field-free regions, but the vector potential changes their relative phase. When the paths recombine, the interference pattern shifts according to the enclosed magnetic flux. | In the magnetic version, an electron wave is split into two paths around a confined magnetic flux. The electrons travel through field-free regions, but the vector potential changes their relative phase. When the paths recombine, the interference pattern shifts according to the enclosed magnetic flux. | ||
== Phase and potentials == | == Phase and potentials == | ||
Revision as of 22:20, 20 May 2026
The Quantum Aharonov-Bohm effect is a quantum phenomenon in which charged particles are affected by electromagnetic potentials even in regions where the classical electric and magnetic fields vanish. It demonstrates that potentials can have direct physical significance in quantum mechanics.[1]
In the magnetic version, an electron wave is split into two paths around a confined magnetic flux. The electrons travel through field-free regions, but the vector potential changes their relative phase. When the paths recombine, the interference pattern shifts according to the enclosed magnetic flux.
Phase and potentials
Classically, only electric and magnetic fields exert forces on charged particles. In quantum theory, the phase of the wavefunction can respond to the vector potential itself. This makes the effect an important example of the phase sensitivity of quantum amplitudes.
The effect also connects naturally with geometric phase, gauge fields, and topological descriptions of quantum systems.
Significance
The Aharonov-Bohm effect is important in electron interferometry, mesoscopic physics, superconducting circuits, and discussions of gauge invariance. It shows that the quantum description cannot always be reduced to local classical forces acting along a path.
It also provides a clean conceptual bridge between wavefunctions, electromagnetic potentials, and gauge fields.
See also
- Physics:Quantum Wavefunction
- Physics:Quantum Berry phase
- Physics:Quantum gauge field
- Physics:Quantum electromagnetic field
References
Source attribution: Physics:Quantum Aharonov-Bohm effect