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Generation of electron vortex beams using line charges via the electrostatic Aharonov-Bohm effect. Ultramicroscopy 2017; 181:191-196. [DOI: 10.1016/j.ultramic.2017.06.001] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/09/2016] [Revised: 05/16/2017] [Accepted: 06/01/2017] [Indexed: 11/22/2022]
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2
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An experimental proposal to test the physical effect of the vector potential. Sci Rep 2016; 6:19996. [PMID: 26822526 PMCID: PMC4995608 DOI: 10.1038/srep19996] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/02/2015] [Accepted: 12/22/2015] [Indexed: 11/17/2022] Open
Abstract
There are two interpretations of the Aharonov–Bohm (A–B) effect. One interpretation asserts that the A–B effect demonstrates that the vector potential is a physical reality that can result in the phase shift of a moving charge in quantum mechanics. The other interpretation asserts that the phase shift of the moving charge results from the interaction energy between the electromagnetic field of the moving charge and external electromagnetic fields. This paper briefly reviews these two interpretations and analyzes their differences. In addition, a new experimental scheme is proposed to determine which interpretation is correct.
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Schütz G, Rembold A, Pooch A, Prochel H, Stibor A. Effective beam separation schemes for the measurement of the electric Aharonov–Bohm effect in an ion interferometer. Ultramicroscopy 2015; 158:65-73. [DOI: 10.1016/j.ultramic.2015.06.016] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/20/2015] [Revised: 06/22/2015] [Accepted: 06/28/2015] [Indexed: 10/23/2022]
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4
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Wang RF. Absence of the Electric Aharonov-Bohm Effect due to Induced Charges. Sci Rep 2015; 5:14279. [PMID: 26392302 PMCID: PMC4585739 DOI: 10.1038/srep14279] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/30/2014] [Accepted: 08/21/2015] [Indexed: 11/09/2022] Open
Abstract
This paper states that the induced charge should not be neglected in the electric Aharonov-Bohm (A-B) effect. If the induced charge is taken into account, the interference pattern of the moving charge will not change with the potential difference between the two metal tubes. It means that the scalar potential itself can not affect the phase of the moving charge, and the true factor affecting the phase of the moving charge is the energy of the system including the moving charge and the induced charge.
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Affiliation(s)
- Rui-Feng Wang
- Department of Physics, Beijing Jiaotong University, Beijing, 100044, China
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Hohensee MA, Estey B, Hamilton P, Zeilinger A, Müller H. Force-free gravitational redshift: proposed gravitational Aharonov-Bohm experiment. PHYSICAL REVIEW LETTERS 2012; 108:230404. [PMID: 23003927 DOI: 10.1103/physrevlett.108.230404] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/22/2011] [Indexed: 06/01/2023]
Abstract
We propose a feasible laboratory interferometry experiment with matter waves in a gravitational potential caused by a pair of artificial field-generating masses. It will demonstrate that the presence of these masses (and, for moving atoms, time dilation) induces a phase shift, even if it does not cause any classical force. The phase shift is identical to that produced by the gravitational redshift (or time dilation) of clocks ticking at the atom's Compton frequency. In analogy to the Aharonov-Bohm effect in electromagnetism, the quantum mechanical phase is a function of the gravitational potential and not the classical forces.
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Affiliation(s)
- Michael A Hohensee
- Department of Physics, University of California, Berkeley, California 94720, USA.
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6
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Proposed Experimental Test for the Paradoxical Forces Associated with the Aharonov-Bohm Phase Shift. ACTA ACUST UNITED AC 2006. [DOI: 10.1007/s10702-006-0907-7] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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7
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Boyer TH. Darwin–Lagrangian analysis for the interaction of a point charge and a magnet: considerations related to the controversy regarding the Aharonov–Bohm and Aharonov–Casher phase shifts. ACTA ACUST UNITED AC 2006. [DOI: 10.1088/0305-4470/39/13/021] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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8
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Horsley SAR, Babiker M. Röntgen quantum phase shift: a semiclassical local electrodynamical effect? PHYSICAL REVIEW LETTERS 2005; 95:010405. [PMID: 16090591 DOI: 10.1103/physrevlett.95.010405] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/17/2004] [Indexed: 05/03/2023]
Abstract
The Röntgen quantum phase shift is exhibited by the interference of point particles endowed with an electric dipole moment due to their motion relative to a source of the magnetic field. Here we show, using arguments involving the classical concepts of force and its impulse, that the Röntgen phase shift arises within a largely classical (semiclassical) theoretical framework. All the subtleties normally associated with the nonlocality of magnetic (Aharonov-Bohm-type) quantum phase phenomena are uncontroversially absent in the classical treatment.
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Affiliation(s)
- S A R Horsley
- Department of Physics, University of York, Heslington, York YO10 5DD, United Kingdom
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9
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Matteucci G, Missiroli G, Pozzi G. Electron holography of long-range electrostatic fields. ADVANCES IN IMAGING AND ELECTRON PHYSICS 2002. [DOI: 10.1016/s1076-5670(02)80053-2] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/24/2022]
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10
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Matteucci O, Missiroli G, Pozzi G. Electron Holography of Long-Range Electrostatic Fields. ADVANCES IN IMAGING AND ELECTRON PHYSICS 1997. [DOI: 10.1016/s1076-5670(08)70242-8] [Citation(s) in RCA: 20] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/20/2023]
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11
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Park KW, Lee S, Shin M, Lee EH, Kwon HC. Electron interference due to localization paths in an Aharonov-Bohm ring. PHYSICAL REVIEW. B, CONDENSED MATTER 1996; 54:1498-1501. [PMID: 9985982 DOI: 10.1103/physrevb.54.1498] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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12
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Multislice Approach to Lens Analysis. ACTA ACUST UNITED AC 1995. [DOI: 10.1016/s1076-5670(08)70135-6] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register]
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13
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Ji ZL, Berggren KF. Comment on "Electroconductance oscillations and quantum interference in ballistic nanostructures". PHYSICAL REVIEW. B, CONDENSED MATTER 1994; 49:16801-16802. [PMID: 10010848 DOI: 10.1103/physrevb.49.16801] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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14
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Moreau W, Ross DK. Complementary electric Aharonov-Bohm effect. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 49:4348-4352. [PMID: 9910748 DOI: 10.1103/physreva.49.4348] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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15
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Semiconductor Quantum Devices. ACTA ACUST UNITED AC 1994. [DOI: 10.1016/s0065-2539(08)60074-8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register]
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16
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Allman BE, Cimmino A, Klein AG, Opat GI, Kaiser H, Werner SA. Observation of the scalar Aharonov-Bohm effect by neutron interferometry. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1993; 48:1799-1807. [PMID: 9909794 DOI: 10.1103/physreva.48.1799] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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17
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Joe YS, Ulloa SE. Electroconductance oscillations and quantum interference in ballistic nanostructures. PHYSICAL REVIEW. B, CONDENSED MATTER 1993; 47:9948-9951. [PMID: 10005081 DOI: 10.1103/physrevb.47.9948] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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18
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Matteucci G, Medina F, Pozzi G. Electron-optical analysis of the electrostatic Aharonov-Bohm effect. Ultramicroscopy 1992. [DOI: 10.1016/0304-3991(92)90205-x] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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19
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Allman BE, Cimmino A, Klein AG, Opat GI, Kaiser H, Werner SA. Scalar Aharonov-Bohm experiment with neutrons. PHYSICAL REVIEW LETTERS 1992; 68:2409-2412. [PMID: 10045390 DOI: 10.1103/physrevlett.68.2409] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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20
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Liang JQ, Ding XX. New model of fractional spin. PHYSICAL REVIEW LETTERS 1989; 63:831-833. [PMID: 10041196 DOI: 10.1103/physrevlett.63.831] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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21
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Cahay M, Bandyopadhyay S, Grubin HL. Two types of conductance minima in electrostatic Aharonov-Bohm conductance oscillations. PHYSICAL REVIEW. B, CONDENSED MATTER 1989; 39:12989-12992. [PMID: 9948191 DOI: 10.1103/physrevb.39.12989] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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22
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Matteucci G, Missiroli G, Pozzi G. Electron interferometry and holography of electrostatic fields: Fundamental and applicative aspects. ACTA ACUST UNITED AC 1988. [DOI: 10.1016/0378-4363(88)90170-2] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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23
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Aharonov Y, Pearle P, Vaidman L. Comment on "Proposed Aharonov-Casher effect: Another example of an Aharonov-Bohm effect arising from a classical lag". PHYSICAL REVIEW. A, GENERAL PHYSICS 1988; 37:4052-4055. [PMID: 9899525 DOI: 10.1103/physreva.37.4052] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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24
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Boyer TH. Proposed Aharonov-Casher effect: Another example of an Aharonov-Bohm effect arising from a classical lag. PHYSICAL REVIEW. A, GENERAL PHYSICS 1987; 36:5083-5086. [PMID: 9898771 DOI: 10.1103/physreva.36.5083] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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25
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Datta S, Cahay M, McLennan M. Scatter-matrix approach to quantum transport. PHYSICAL REVIEW. B, CONDENSED MATTER 1987; 36:5655-5658. [PMID: 9942225 DOI: 10.1103/physrevb.36.5655] [Citation(s) in RCA: 25] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/11/2023]
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26
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Datta S, Melloch MR, Bandyopadhyay S, Noren R, Vaziri M, Miller M, Reifenberger R. Novel interference effects between parallel quantum wells. PHYSICAL REVIEW LETTERS 1985; 55:2344-2347. [PMID: 10032116 DOI: 10.1103/physrevlett.55.2344] [Citation(s) in RCA: 35] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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