1999
DOI: 10.1103/physrevlett.82.3932
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Quantum Effect of the Aharonov-Bohm Type for Particles with an Electric Dipole Moment

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Cited by 55 publications
(49 citation statements)
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“…The interaction between electric and magnetic fields and multipole moments has attracted attention in a great deal of studies, such as [1][2][3][4][5][6][7][8][9][10][11][12][13], the holonomic quantum computation [14][15][16], and the Landau quantization [17,18]. Besides, recent studies of the interaction between a moving electric moment and external fields [11,12] have shown a difference between the field configuration that yields the occurrence of geometric phases for an electric charge [1,2,19], an electric dipole moment [3,4,9,10], and a moving electric moment.…”
Section: Introductionmentioning
confidence: 99%
“…The interaction between electric and magnetic fields and multipole moments has attracted attention in a great deal of studies, such as [1][2][3][4][5][6][7][8][9][10][11][12][13], the holonomic quantum computation [14][15][16], and the Landau quantization [17,18]. Besides, recent studies of the interaction between a moving electric moment and external fields [11,12] have shown a difference between the field configuration that yields the occurrence of geometric phases for an electric charge [1,2,19], an electric dipole moment [3,4,9,10], and a moving electric moment.…”
Section: Introductionmentioning
confidence: 99%
“…To define the field configurations in this background, we suggest that the dipole moments are parallel to the z-axis again and that the electric field is outside of the defect. Thus, the electric field satisfying the conditions pointed out in the reference [15] is given by the expression (10), with the Aharonov-Casher uniform magnetic field is given by (12). In this case, the Schrödinger-Pauli equation in the presence of the torsion field takes the form…”
Section: Landau Levels For a Neutral Particle In The Presence Ofmentioning
confidence: 99%
“…The dual of Aharonov-Casher effect was studied independently by He and McKellar [10] and Wilkens [11], who demonstrated that the quantum dynamics of the electric dipole in the presence of a magnetic field exhibits a geometrical quantum phase. In fact, the dynamics of dipoles can give rise to a variety of interesting physical effects [12,13,14]. Ericsson and Sjöqvist developed an analog of Landau quantization for neutral particles in the presence of an external electric field [15].…”
Section: Introductionmentioning
confidence: 99%
“…For instance, as a quite surprising case let us mention that, under certain circumstances, neutral particles with magnetic moment can exhibit the Aharonov-Bohm effect [52]. A quantum effect of the Aharonov-Bohm type for particles with an electric dipole appears, as a consequence of the relation between the topological properties of the phase shift and the linear and angular momentum of the electromagnetic field [53]. This topic is spiced with a hot debate about the force that a neutron experiences in connection with the Aharonov-Casher effect.…”
Section: Geometric Phases In Quantum Theorymentioning
confidence: 99%