In the context of the natural splitting, the standard relative dynamics can be expressed in terms of gravito-electromagnetic fields, which allow to formally introduce a gravito-magnetic Aharonov-Bohm effect. We showed elsewhere that this formal analogy can be used to derive the Sagnac effect in flat space-time as a gravito-magnetic AharonovBohm effect. Here, we generalize those results to study...

It has been predicted that, in the presence of combined radial electric field and axial magnetic field, superfluid He in a torus will have a persistent current in its ground state. This surprising result arises from non-cancellation of the Aharonov-Bohm phase shifts associated with the opposite charges in the induced electric dipole moment of the neutral He atoms. We briefly review this predict...

The origin and nature of a special nonlinear supersymmetry of a reflectionless Pöschl-Teller system are explained by the Aharonov-Bohm effect for a nonrelativistic particle on AdS2. A key role in supersymmetric structure appearing after reduction by a compact generator of the AdS2 isometry is shown to be played by discrete symmetries related to space and time reflections in the ambient Minkowsk...

We study an analogue of the quantum Zeno paradox for the Bohm trajectory of a sharply located particle. We show that a continuously observed Bohm trajectory is the classical trajectory. Our results are then compared and contrasted with Mott’s original treatment of an α-particle track produced by a decaying nucleus in a cloud chamber using standard quantum mechanics.

We study a field–theoretical analogue of the Aharonov–Bohm effect in two-, threeand four-dimensional Abelian Higgs models; the corresponding topological interaction is proportional to the linking number of the Abrikosov vortex and the particle world trajectories. We show that the Aharonov–Bohm effect gives rise to a nontrivial interaction of charged test particles. The numerical calculations in...

A charge e, moving with the velocity v through a time-constant space-varying magnetic potential field A, experiences a force of motional induction given by F v A = − ⋅ ∇ e c a f. Although the magnetic field is zero, B = 0; this force acts on the electrons passing on the two sides of a long sole-noid to produce the phase shift difference observed in the Aharonov-Bohm effect. PACS 03.65 – Quantum...

Noise in an ac biased junction. Non-stationary Aharonov-Bohm effect. Abstract We study excess noise in a quantum conductor in the presence of constant voltage and alternating external field. Due to a two particle interference effect caused by Fermi correlations the noise is sensitive to the phase of the time dependent transmission amplitude. We compute spectral density and show that at T = 0 th...