# Aharonov-Bohm effect references to use

1. Aharonov_1959_Significance_of_electromagnetic_potentials1
2. Aharonov_2016_Nonlocality_of_the_Aharonov_Bohm_effect2
3. Baez_1994_Gauge_Fields_Knots_and_Gravity3
4. Belot_2009_Synopsis_and_discussion_Philosophy_of_gauge4
5. Chambers_1960_Shift_of_an_electron_interference_pattern_by5
6. Coleman_1967_All_possible_symmetries_of_the_S_matrix6
7. Dirac_1931_Quantised_singularities_in_the_electromagnetic7
8. Dyson_1990_Feynmans_proof_of_the_Maxwell_equations8
9. Ehrenberg_1949_The_Refractive_Index_in_Electron_Optics9
10. Frankel_1997_The_Geometry_of_Physics10
11. Griffiths_2005_Introduction_to_Quantum_Mechanics11
12. Guttmann_2000_Fiber_Bundle_Gauge_Theories_and_Fields12
13. Haag_1975_All_possible_generators_of_supersymmetries13
14. Healey_1997_Nonlocality_and_the_Aharonov_Bohm_effect14
15. Healey_2001_On_the_reality_of_gauge_potentials15
16. Healey_2007_Gauging_Whats_Real_The_Conceptual_Foundations16
17. Leeds_1999_Gauges_Aharonov_Bohm_Yang_Healey17
18. Lewandowski_1983_Geometrical_aspects_of_gauge_conditions18
19. Liptak_2014_Theoretical_Basics_of_Geometric_Mechanics19
20. Lyre_2004_Holism_and_structuralism_in_U1_gauge_theory20
21. Maudlin_1998_Healey_on_the_Aharonov_Bohm_effect21
22. Maudlin_2007_The_Metaphysics_Within_Physics22
23. Maudlin_2018_Ontological_Clarity_via_Canonical_Presentation23
24. Myrvold_2010_Nonseparability_classical_and_quantum24
25. Myrvold_2015_What_is_a_wavefunction25
26. Nikolic_2007_Quantum_mechanics_Myths_and_facts26
27. Noether_1971_Invariant_Variation_ProblemsMATavel27
28. Nounou_2003_A_fourth_way_to_the_Aharonov_Bohm_effect28
29. Osakabe_1986_Experimental_confirmation_of_Aharonov_Bohm_effect29
30. Peshkin_1961_The_quantum_mechanical_effects_of_magnetic_fields30
31. Redhead_2003_The_interpretation_of_gauge_symmetry31
32. Reece_2006_A_derivation_of_the_quantum_mechanical_momentum32
33. Reece_2007_Quantum_field_theory_An_introduction33
34. Reece_2013_A_search_for_new_physics_in_high_mass_ditau_events34
35. Reece_2016_Fields_over_particles35
36. Reece_2017_Fields_before_particles36
37. Schwartz_2014_Quantum_Field_Theory_and_the_Standard_Model37
38. Stein_1970_On_the_notion_of_field_in_Newton_Maxwell38
39. Teller_2000_The_gauge_argument39
40. Trautman_1980_Fiber_bundles_gauge_fields_and_gravitation40
41. Wallace_2014_Deflating_the_Aharonov_Bohm_Effect41
42. Way_2010_Introduction_to_connections_on_principal_fibre42
43. Weatherall_2016_Fiber_bundles_Yang_Mills_theory_and_general43
44. Weatherall_2016_Understanding_gauge44
45. Weatherall_2017_Categories_and_the_Foundations_of_Classical_Field45
46. Wheeler_1996_Electrodynamical_Applications_of_the_Exterior46
47. Wigner_1939_On_unitary_representations_of_the_inhomogeneous47
48. Wu_1975_Concept_of_nonintegrable_phase_factors_and_global48
49. Yang_1977_Magnetic_monopoles_fiber_bundles_and_gauge49
50. Zee_2016_Group_Theory_in_a_Nutshell_for_Physicists50

## References

Aharonov, Y. & Bohm, D. (1959). Significance of electromagnetic potentials in the quantum theory,. Physical Review, 115, 485–491.
Aharonov, Y., Cohen, E., & Rohrlich, D. (2016). Nonlocality of the Aharonov-Bohm effect. Physical Review A, 93, 042110.
Baez, J. & Muniain, J. P. (1994). Gauge Fields, Knots and Gravity. World Scientific Publishing Company.
Belot, G. et al. (2009). Synopsis and discussion: Philosophy of gauge theory. (Proceedings for a workshop at the University of Pittsburgh, April 18-19, 2009). http://philsci-archive.pitt.edu/4728/1/Gauge_v9.pdf
Chambers, R. G. (1960). Shift of an electron interference pattern by enclosed magnetic flux,. Physical Review Letters, 5, 3–5.
Coleman, S. & Mandula, J. (1967). All possible symmetries of the S-matrix. Physical Review, 159, 1251–1256.
Dirac, P. A. M. (1931). Quantised singularities in the electromagnetic field. Proceedings of the Royal Society of London A, 133, 60–72. http://users.physik.fu-berlin.de/~kleinert/files/dirac1931.pdf
Dyson, F. J. (1990). Feynman’s proof of the Maxwell equations. American Journal of Physics, 58, 209–211. https://aapt.scitation.org/doi/10.1119/1.16188
Ehrenberg, W. & Siday, R. E. (1949). The Refractive Index in Electron Optics and the Principles of Dynamics. Proceedings of the Physical Society, Series B, 62, 8–21.
Frankel, T. (1997). The Geometry of Physics. Cambridge University Press.
Griffiths, D. J. (2005). Introduction to Quantum Mechanics (2nd ed.). Pearson Prentice Hall.
Guttmann, Y. & Lyre, H. (2000). Fiber Bundle Gauge Theories and “Field’s Dilemma”. https://arxiv.org/abs/physics/0005051
Haag, R., Łopuszański, J. T., & Sohnius, M. (1975). All possible generators of supersymmetries of the $$S$$-matrix. Nuclear Physics B, 88, 257–274.
Healey, R. (1997). Nonlocality and the Aharonov-Bohm effect. Philosophy of Science, 64, 18–41.
———. (2001). On the reality of gauge potentials. Philosophy of Science, 68, 432–455. http://philsci-archive.pitt.edu/328
———. (2007). Gauging What’s Real: The Conceptual Foundations of Contemporary Gauge Theories. Oxford University Press.
Leeds, S. (1999). Gauges: Aharonov, Bohm, Yang, Healey. Philosophy of Science, 66, 606–627.
Lewandowski, J., Tafel, J., & Trautman, A. (1983). Geometrical aspects of gauge conditions. Letters in Mathematical Physics, 7, 347–352.
Lipták, T. et al. (2014). Theoretical Basics of Geometric Mechanics and Differential Geometry. American Journal of Mechanical Engineering, 2, 178–183. http://pubs.sciepub.com/ajme/2/7/1/
Lyre, H. (2004). Holism and structuralism in U(1) gauge theory. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics, 35, 643–670. http://philsci-archive.pitt.edu/1831
Maudlin, T. (1998). Healey on the Aharonov-Bohm effect. Philosophy of Science, 65, 361–368. https://www.jstor.org/stable/188266
———. (2007). The Metaphysics Within Physics. Oxford University Press.
———. (2018). Ontological Clarity via Canonical Presentation: Electromagnetism and the Aharonov-Bohm Effect. Entropy, 20, 465. http://www.mdpi.com/1099-4300/20/6/465
Myrvold, W. C. (2010). Nonseparability, classical, and quantum. British Journal for the Philosophy of Science, 62, 417–432.
———. (2015). What is a wavefunction? Synthese, 192, 3247–3274. http://philsci-archive.pitt.edu/11117
Nikolić, H. (2007). Quantum mechanics: Myths and facts. Foundations of Physics, 37, 1563–1611. https://arxiv.org/abs/quant-ph/0609163
Noether, E. (1971). Invariant Variation Problems. (M.A. Tavel, Trans.). Transport Theory and Statistical Physics, 1, 183–207. Originally published in 1918 as Invariante variationsprobleme, Nachr. d. König. Gesellsch. d. Wiss. zu Göttingen, Math-phys. Klasse. 235–257. https://arxiv.org/abs/physics/0503066
Nounou, A. (2003). A fourth way to the Aharonov-Bohm effect. In K. Brading & E. Castellani (Eds.), Symmetries in Physics: Philosophical Reflections (pp. 174–199). Cambridge University Press.
Osakabe, N. et al. (1986). Experimental confirmation of Aharonov-Bohm effect using a toroidal magnetic field confined by a superconductor. Physical Review A, 34, 815–822.
Peshkin, M., Talmi, I., & Tassie, L. J. (1961). The quantum mechanical effects of magnetic fields confined to inaccessible regions,. Annals of Physics, 12, 426–435.
Redhead, M. (2003). The interpretation of gauge symmetry. In K. Brading & E. Castellani (Eds.), Symmetries in Physics: Philosophical Reflections (pp. 124–139). Cambridge University Press.
Reece, R. (2006). A derivation of the quantum mechanical momentum operator in the position representation. http://rreece.github.io/publications/pdf/2006.Reece.Derivation-of-the-QM-momentum-operator.pdf
———. (2007). Quantum field theory: An introduction. http://rreece.github.io/publications/pdf/2007.Reece.Quantum-Field-Theory-An-Introduction.pdf
———. (2013). A search for new physics in high-mass ditau events in the ATLAS detector. University of Pennsylvania. Ph.D. thesis, CERN-THESIS-2013-075. http://rreece.github.io/docs/CERN-THESIS-2013-075.pdf
———. (2016). Fields over particles. Talk given at the 4th International Summer School in Philosophy of Physics, Saig, Germany, July 20, 2016. http://wp.unil.ch/isspp/. http://rreece.github.io/talks/pdf/2016-07-20-RReece-Fields-Over-Particles.pdf
———. (2017). Fields before particles. Talk given at the California Quantum Interpretation Network (CQIN) meeting, Lake Arrowhead, CA, August 24, 2017. https://sites.google.com/site/californiaquantum/. http://rreece.github.io/talks/pdf/2017-09-24-RReece-Fields-before-particles.pdf
Schwartz, M. D. (2014). Quantum Field Theory and the Standard Model. Cambridge University Press.
Stein, H. (1970). On the notion of field in Newton, Maxwell, and beyond. In R. Struewer (Ed.), Historical and Philosophical Perspectives of Science (pp. 264–287). University of Minnesota Press.
Teller, P. (2000). The gauge argument. Philosophy of Science, 67, 466–481.
Trautman, A. (1980). Fiber bundles, gauge fields, and gravitation. In A. Held (Ed.), General Relativity and Gravitation (pp. 287–308). New York: Plenum Press.
Wallace, D. (2014). Deflating the Aharonov-Bohm Effect. https://arxiv.org/abs/1407.5073
Way, R. (2010). Introduction to connections on principal fibre bundles. http://personal.maths.surrey.ac.uk/st/T.Bridges/GEOMETRIC-PHASE/Connections_intro.pdf
Weatherall, J. O. (2016a). Fiber bundles, Yang-Mills theory, and general relativity. Synthese, 193, 2389–2425. https://arxiv.org/abs/1411.3281
———. (2016b). Understanding gauge. Philosophy of Science, 83, 1039–1049. https://arxiv.org/abs/1505.02229
———. (2017). Categories and the Foundations of Classical Field Theories. In Categories for the Working Philosopher (pp. 329–348). Oxford University Press. https://arxiv.org/abs/1505.07084
Wheeler, N. (1996). Electrodynamical Applications of the Exterior Calculus. http://www.reed.edu/physics/faculty/wheeler/documents/Electrodynamics/Miscellaneous%20Essays/Exterior%20E&M.pdf
Wigner, E. (1939). On unitary representations of the inhomogeneous Lorentz group. Annals of Mathematics, 40, 149–204.
Wu, T. T. & Yang, C. N. (1975). Concept of nonintegrable phase factors and global formulation of gauge fields. Physical Review D, 12, 3845.
Yang, C. N. (1977). Magnetic monopoles, fiber bundles, and gauge fields. Annals of the New York Academy of Sciences, 294, 86–97.
Zee, A. (2016). Group Theory in a Nutshell for Physicists. Princeton University Press.

1. Aharonov & Bohm (1959).↩︎

2. Aharonov, Cohen, & Rohrlich (2016).↩︎

3. Baez & Muniain (1994).↩︎

4. Belot, G. et al. (2009).↩︎

5. Chambers (1960).↩︎

6. Coleman & Mandula (1967).↩︎

7. Dirac (1931).↩︎

8. Dyson (1990).↩︎

9. Ehrenberg & Siday (1949).↩︎

10. Frankel (1997).↩︎

11. Griffiths (2005).↩︎

12. Guttmann & Lyre (2000).↩︎

13. Haag, Łopuszański, & Sohnius (1975).↩︎

14. Healey (1997).↩︎

15. Healey (2001).↩︎

16. Healey (2007).↩︎

17. Leeds (1999).↩︎

18. Lewandowski, Tafel, & Trautman (1983).↩︎

19. Lipták, T. et al. (2014).↩︎

20. Lyre (2004).↩︎

21. Maudlin (1998).↩︎

22. Maudlin (2007).↩︎

23. Maudlin (2018).↩︎

24. Myrvold (2010).↩︎

25. Myrvold (2015).↩︎

26. Nikolić (2007).↩︎

27. Noether (1971).↩︎

28. Nounou (2003).↩︎

29. Osakabe, N. et al. (1986).↩︎

30. Peshkin, Talmi, & Tassie (1961).↩︎

32. Reece (2006).↩︎

33. Reece (2007).↩︎

34. Reece (2013).↩︎

35. Reece (2016).↩︎

36. Reece (2017).↩︎

37. Schwartz (2014).↩︎

38. Stein (1970).↩︎

39. Teller (2000).↩︎

40. Trautman (1980).↩︎

41. Wallace (2014).↩︎

42. Way (2010).↩︎

43. Weatherall (2016a).↩︎

44. Weatherall (2016b).↩︎

45. Weatherall (2017).↩︎

46. Wheeler (1996).↩︎

47. Wigner (1939).↩︎

48. Wu & Yang (1975).↩︎

49. Yang (1977).↩︎

50. Zee (2016).↩︎