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Magnetic flux quantization in superconductors and the Aharonov–Bohm effect

Y. M. Malozovsky, J. D. Fan

Physics Letters AJul 1, 19999 citations

Aharonov–Bohm effect in the presence of a density of defects

Claudio Furtado, Carlos Alberto de Lima Ribeiro, Sérgio Azevedo

Physics Letters AApr 1, 200252 citations

The Aharonov-Bohm effect and the quantum potential

Chris Philippidis, David Böhm, R.D. Kaye

Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento BSep 1, 198297 citations

Aharonov–Bohm effect revisited

Gregory Eskin

Aharonov–Bohm effect is a quantum mechanical phenomenon that attracted the attention of many physicists and mathematicians since the publication of the seminal paper of Aharonov and Bohm [1] in 1959. We consider different types of Aharonov–Bohm effects such as the magnetic AB effect, electric AB effect, combined electromagnetic AB effect, AB effect for the Schrödinger equations with Yang–Mills potentials, and the gravitational analog of AB effect. We shall describe different approaches to prove the AB effect based on the inverse scattering problems, the inverse boundary value problems in the presence of obstacles, spectral asymptotics, and the direct proofs of the AB effect.Aharonov–Bohm effect is a quantum mechanical phenomenon that attracted the attention of many physicists and mathematicians since the publication of the seminal paper of Aharonov and Bohm [1] in 1959. We consider different types of Aharonov–Bohm effects such as the magnetic AB effect, electric AB effect, combined electromagnetic AB effect, AB effect for the Schrödinger equations with Yang–Mills potentials, and the gravitational analog of AB effect. We shall describe different approaches to prove the AB effect based on the inverse scattering problems, the inverse boundary value problems in the presence of obstacles, spectral asymptotics, and the direct proofs of the AB effect.

arXiv:1504.04784Reviews in Mathematical PhysicsMar 1, 20154 citations

Experimental confirmation of Aharonov-Bohm effect using a toroidal magnetic field confined by a superconductor

Nobuyuki Osakabe, Tsuyoshi Matsuda, Takeshi Kawasaki +4 more

The electron holography technique was employed to make a crucial test of the existence of the Aharonov-Bohm (AB) effect. The relative phase shift was measured between two electron waves passing through spaces inside and outside a tiny toroidal ferromagnet, covered completely with a superconductor layer and a Cu layer. Below the transition temperature the relative phase shift was measured to be 0 or \ensuremath{\pi} due to the magnetic-flux quantization in units of h/2e. The results directly demonstrated the existence of the AB effect even when the magnetic field was confined by the surrounding superconductor due to the Meissner effect and an electron beam was prevented from penetrating the magnet.The electron holography technique was employed to make a crucial test of the existence of the Aharonov-Bohm (AB) effect. The relative phase shift was measured between two electron waves passing through spaces inside and outside a tiny toroidal ferromagnet, covered completely with a superconductor layer and a Cu layer. Below the transition temperature the relative phase shift was measured to be 0 or \ensuremath{\pi} due to the magnetic-flux quantization in units of h/2e. The results directly demonstrated the existence of the AB effect even when the magnetic field was confined by the surrounding superconductor due to the Meissner effect and an electron beam was prevented from penetrating the magnet.

Physical Review AAug 1, 1986205 citations

Nonexistence of the Aharonov-Bohm effect

P. Bocchieri, A. Loinger

Nuovo cimento della Società italiana di fisica. A, Nuclei, particles and fieldsOct 1, 1978124 citations

Aharonov-Bohm effect in the presence of superconductors

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