The Aharonov-Bohm Effect and the Quantum Interference Phase Shift due to an Electrostatic Field

1987 ◽  
pp. 297-306 ◽  
Author(s):  
Giorgio Matteucci ◽  
Giulio Pozzi
Keyword(s):  
Phase Shift ◽  
Electrostatic Field ◽  
Quantum Interference ◽  
Bohm Effect ◽  
Aharonov Bohm ◽  
Interference Phase

Quantum interference in H + HD → H2 + D between direct abstraction and roaming insertion pathways

Science ◽  
2020 ◽  
Vol 368 (6492) ◽  
pp. 767-771 ◽  
Author(s):  
Yurun Xie ◽  
Hailin Zhao ◽  
Yufeng Wang ◽  
Yin Huang ◽  
Tao Wang ◽  
...  
Keyword(s):  
Quantum Number ◽  
Quantum Interference ◽  
Chemical Reactivity ◽  
Rotational Quantum Number ◽  
Interesting Case ◽  
Phase Effect ◽  
Chemical Reaction Dynamics ◽  
Bohm Effect ◽  
Aharonov Bohm ◽  
Direct Abstraction

Understanding quantum interferences is essential to the study of chemical reaction dynamics. Here, we provide an interesting case of quantum interference between two topologically distinct pathways in the H + HD → H2 + D reaction in the collision energy range between 1.94 and 2.21 eV, manifested as oscillations in the energy dependence of the differential cross section for the H2 (v′ = 2, j′ = 3) product (where v′ is the vibrational quantum number and j′ is the rotational quantum number) in the backward scattering direction. The notable oscillation patterns observed are attributed to the strong quantum interference between the direct abstraction pathway and an unusual roaming insertion pathway. More interestingly, the observed interference pattern also provides a sensitive probe of the geometric phase effect at an energy far below the conical intersection in this reaction, which resembles the Aharonov–Bohm effect in physics, clearly demonstrating the quantum nature of chemical reactivity.

Phase Shift of an Electron Wave through a Quantum Dot and Aharonov-Bohm Effect

1999 ◽  
Vol 38 (Part 1, No. 1B) ◽  
pp. 392-395
Author(s):  
Yasuhiro Asano ◽  
Masafumi Ohi
Keyword(s):  
Phase Shift ◽  
Quantum Dot ◽  
Electron Wave ◽  
Bohm Effect ◽  
Aharonov Bohm

Topological quantum scattering under the influence of a nontrivial boundary condition

2016 ◽  
Vol 31 (11) ◽  
pp. 1650074 ◽  
Author(s):  
Herondy Mota
Keyword(s):  
Boundary Condition ◽  
Phase Shift ◽  
Gordon Equation ◽  
Scattering Problem ◽  
Quantum Scattering ◽  
Topological Quantum ◽  
Klein Gordon ◽  
Bohm Effect ◽  
Aharonov Bohm

We consider the quantum scattering problem of a relativistic particle in (2 + 1)-dimensional cosmic string spacetime under the influence of a nontrivial boundary condition imposed on the solution of the Klein–Gordon equation. The solution is then shifted as consequence of the nontrivial boundary condition and the role of the phase shift is to produce an Aharonov–Bohm-like effect. We examine the connection between this phase shift and the electromagnetic and gravitational analogous of the Aharonov–Bohm effect and compare the present results with previous ones obtained in the literature, also considering non-relativistic cases.

Quantum Interference and the Aharonov-Bohm Effect

1989 ◽  
Vol 260 (4) ◽  
pp. 56-62 ◽  
Author(s):  
Yoseph Imry ◽  
Richard A. Webb
Keyword(s):  
Quantum Interference ◽  
Bohm Effect ◽  
Aharonov Bohm

scholarly journals An Experiment to Test the Gravitational Aharonov-Bohm Effect

1994 ◽  
Vol 47 (3) ◽  
pp. 245 ◽  
Author(s):  
Vu B Ho ◽  
Michael J Morgan
Keyword(s):  
General Relativity ◽  
Gravitational Field ◽  
Quantum Interference ◽  
Field Approximation ◽  
Weak Field ◽  
Matter Wave ◽  
Interference Effects ◽  
Weak Field Approximation ◽  
Bohm Effect ◽  
Aharonov Bohm

The gravitational Aharonov-Bohm (AB) effect is examined in the weak-field approximation to general relativity. In analogy with the electromagnetic AB effect, we find that a gravitoelectromagnetic 4-vector potential gives rise to interference effects. A matter wave interferometry experiment, based on a modification of the gravity-induced quantum interference experiment of Colella, Overhauser and Werner (COW), is proposed to explicitly test the gravitoelectric version of the AB effect in a uniform gravitational field.

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