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

Journal of Physics A: Mathematical and General

Volumn 39, Issue 13, 2006, Pages 3455-3477

  Boyer, Timothy H ^a  

^a CITY COLLEGE OF NEW YORK   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33644951916     PISSN: 03054470     EISSN: 13616447     Source Type: Journal    
DOI: 10.1088/0305-4470/39/13/021     Document Type: Article

References (41)

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11. Boyer T H 1987 The Aharonov-Bohm effect as a classical electromagnetic-lag effect: an electrostatic analogue and possible experimental test Nuovo Cimento B 100 685-701
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23. See, for example, Jackson J D 1975 Classical Electrodynamics 2nd edn (New York: Wiley) pp 593-5
24. 2 limit of the Lienard-Wiechert fields
25. See, for example, Jackson in [17], p 594
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28. See also Solem J C 1997 Variations on the Kepler problem Found. Phys. 27 1291-306
29. See, for example, Jackson in [17], p 155
30. See, for example, Goldstein H 1981 Classical Mechanics 2nd edn (Reading, MA: Addison-Wesley) pp 102-4
31. The sign and normalization have been chosen as in the work by Biedenharn, Brown and Solem listed in [20]
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33. Boyer T H 1973 Classical electromagnetic interaction of a charged particle with a constant-current solenoid Phys. Rev. D 8 1667-79
34. See, for example, Jackson in [17], p 185
35. See, for example, Boyer T H 2001 Electric and magnetic forces and energies for a parallel-plate capacitor and a flattened, slip-joint solenoid Am. J. Phys. 69 1277-9
36. The phase shift was first observed by Chambers R G 1960 Shift of an electron interference pattern by enclosed magnetic flux Phys. Rev. Lett. 5 3-5
37. Peshkin M and Tonomura A in [7] give extensive references to the experimental tests
38. Tonomura A, Osakabe N, Matsuda T, Kawasaki T, Endo J, Yano S and Yamada H 1986 Evidence for the Aharonov-Bohm effect with magnetic field completely shielded from electron wave Phys. Rev. Lett. 56 792-5
39. Matteucci G and Pozzi G 1985 New diffraction experiment on the electrostatic Aharonov-Bohm effect Phys. Rev. Lett. 54 2469-70
40. See, for example, Peshkin M, Talmi I and Tassie L J 1961 The quantum mechanical effects of magnetic fields confined to inaccessible regions Ann. Phys., NY 12 426-35 especially section 5
41. Boyer T H The paradoxical forces for the classical electromagnetic lag associated with the Aharonov-Bohm phase shift (submitted for publication) physics/0506180