# Quantum-mechanical inclusion of the source in the Aharonov-Bohm effects

@article{Pearle2017QuantummechanicalIO, title={Quantum-mechanical inclusion of the source in the Aharonov-Bohm effects}, author={Philip Mark Pearle and Anthony Rizzi}, journal={Physical Review A}, year={2017}, volume={95}, pages={052123} }

Following semiclassical arguments by Vaidman we show, for the first time in a fully quantum mechanical way, that the phase shifts arising in the Aharonov Bohm (A-B) magnetic or electric effects can be treated as due to the electric force of a classical electron, respectively acting on quantized solenoid particles or quantized capacitor plates. This is in contrast to the usual approach which treats both effects as arising from non-field producing potentials acting on the quantized electron…

## 14 Citations

Aharonov-Bohm Phase is Locally Generated Like All Other Quantum Phases.

- Physics, MedicinePhysical review letters
- 2020

It is shown that the AB phase is mediated locally by the entanglement between the charge and the photons, like all electromagnetic phases, and predicted a gauge-invariant value for the phase difference at each point along the charge's path.

Quantized vector potential and alternative views of the magnetic Aharonov-Bohm phase shift

- Physics
- 2017

We give a complete quantum analysis of the Aharonov-Bohm (AB) magnetic phase shift involving three entities: the electron, the charges constituting the solenoid current, and the vector potential. The…

Classical nonlocality and the Aharonov-Bohm effect

- Physics
- 2019

The Aharonov-Bohm effect is a quantum mechanical phenomenon in which it is widely accepted that the observed Aharonov-Bohm phase can be explained by assuming that the magnetic field can produce…

Feynman’s lecture utilizing the Aharonov–Bohm effect

- Mathematics
- 2018

Volume II of The Feynman Lectures on physics is primarily devoted to explicating classical electromagnetism. Quantum theory arises in just one lecture, 15-5, entitled “The vector potential and…

Geometric phase from Aharonov–Bohm to Pancharatnam–Berry and beyond

- PhysicsNature Reviews Physics
- 2019

Whenever a quantum system undergoes a cycle governed by a slow change of parameters, it acquires a phase factor: the geometric phase. Its most common formulations are known as the Aharonov-Bohm,…

Surprising predictions of the electromagnetic angular momentum

- Physics
- 2019

In the context of the Aharonov-Bohm effect, it is well-known that the local action of the vector potential or the non-local action of the magnetic field are properties attributable to quantum…

Cavity QED of superradiant phase transition in two dimensional materials

- Physics
- 2018

In modern physics, the investigation of the interaction between light and matter is important from both a fundamental and an applied point of view. Cavity quantum electrodynamics (cavity QED) is the…

The problem of connection of observer’s mind with quantum-mechanical description of physical reality

- PhysicsVestnik of Minin University
- 2019

Introduction: the study considers the problem of observer’s status during specific quantum-mechanical experiments, in which the empirical result directly depends on the participation of the…

Quantifying the non-classical correlation of a two-atom system nonlinearly interacting with a coherent cavity: local quantum Fisher information and Bures distance entanglement

- Physics
- 2021

The sensitivity of local quantum Fisher information and the Bures distance entanglement as quantifiers of the non-classical correlations, is examined for a atomic system interacting nonlinearly with…

Проблема связи сознания наблюдателя и квантово-механического описания физической реальности

- 2019

Introduction: the study considers the problem of observer’s status during specific quantum-mechanical experiments, in which the empirical result directly depends on the participation of the…

## References

SHOWING 1-6 OF 6 REFERENCES

Phys

- Rev. A86, 040101
- 2012

Quantizing the Vector Potential Reveals Alternative Views of the Magnetic Aharonov - Bohm Phase Shift

- Classical Electrodynamics
- 2012

For a nice presentation of the A-B electric and magnetic effects, see Y. Aharonov and D. Rohrlich, Quantum Paradoxes

- 2005

Annals of Physics 12

- 426
- 1961

Phys

- Rev. 115, 485-491 (1959), Phys. Rev. 123, 1511
- 1961

Rev

- 118, 623
- 1960