Abstract
Philosophers of science are inclined to think that wave–particle duality is an obsolete concept, because according to quantum mechanics there are neither waves nor particles in a classical sense. But in physical practice, wave–particle duality is alive. The concept is crucial in order to understand the recent which-way experiments of quantum optics. First, several aspects of the concept will be sketched. Then I explain why the experimenters say that they prepare waves but detect particles. Indeed, their pragmatic attitude helps to understand a prominent thought experiment of Scully, Englert and Walther and the which-way experiments that realised it. Finally, I discuss a simple polarizer experiment. The experiment shows that no realistic interpretation of particles can cope with wave–particle duality, whereas the causal relevance of the quantum waves can not be denied.
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Notes
- 1.
In Falkenburg (2007), the argument is presented in more detail.
- 2.
Born (1926b, 803). My translation.
- 3.
See Jammer (1966, 41).
- 4.
- 5.
Bohr (1949).
- 6.
Feynman et al. (1965, 1–4 to 1–9).
- 7.
In addition, the quantum state is not particle-like because the photon number is not well-defined. See below Section 4.4.
- 8.
Scully et al. (1991, 111).
- 9.
See Falkenburg (2007, pp. 296–305).
- 10.
See Hacking (1983, 22–25).
References
Bohm D (1952) A suggested interpretation of the quantum theory in terms of “hidden variables”, I & II. Phys Rev 85:166–179, 180–193
Bohr N (1927) Como lecture. The quantum postulate and the recent development of atomic theory. Nature 121(1928):580–590. In Bohr’s collected works 6, pp 109–158
Bohr N (1949) Discussion with Einstein on epistemological problems of atomic physics. In: Schilpp PA (ed) Albert Einstein: Philosopher–scientist. Evanston, IL, pp 115–150
Born M (1926a) Zur Quantenmechanik der Stoßvorgänge. Z Physik 37:863–867
Born M (1926b) Quantenmechanik der Stoßvorgänge. Z Physik 38:803–827
Compton AH (1923) A quantum theory of the scattering of X-rays by light elements. Phys Rev 21:483–502
Davisson C, Germer LH (1927) Diffraction of electrons by a crystal of nickel. Phys Rev 30:705–740
de Broglie L (1923) Ondes et Quanta. Comptes rendus 177:507–510
Dürr S et al (1998a) Origin of quantum-mechanical complementarity probed by ‘which-way’ experiment in an atom interferometer. Nature 395:33–37
Dürr S et al (1998b) Fringe visibility and which-way information in an atom interferometer. Phys Rev Lett 81(26):5705–5709
Dürr S, Rempe G (2000a) Wave–particle duality in an atom interferometer. Adv Atom Mol Optic Phys 42:29–71
Dürr S, Rempe G (2000b) Can wave–particle duality be based on the uncertainty relation? Am J Phys 68(11):1021–1024
Einstein A (1905) Über einen die Erzeugung und Verwandlung des Lichts betreffenden heuristischen Gesichtspunkt. Annalen der Physik 17:132–148
Einstein A (1916) Zur Quantentheorie der Strahlung. First published in 1916. Repr.: Physikal. Zeitschrift 18:121–128
Einstein A et al (1935) ( = EPR paper) Can quantum mechanical description of reality be considered complete? Phys Rev 47:777–780
Falkenburg B (2007) Particle metaphysics. A critical account of subatomic reality. Springer, Berlin
Feynman RP, et al (1965) The Feynman lectures on physics, vol III. Addison-Wesley, Reading, MA
Hacking I (1983) Representing and intervening. Cambridge University Press, Cambridge
Heisenberg W (1925) Über quantentheoretische Umdeutung kinematischer und mechanischer Beziehungen. Z. Physik 33:879–893
Heisenberg W (1927) Über den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik. Z. Physik 43:172–198
Jammer M (1966) The conceptual development of quantum mechanics. McGraw-Hill, New York
Ketterle W (2003) Public talk on the Bose–Einstein condensate. Annual meeting of the DPG (German Physical Society), Hannover
Schrödinger E (1926) Quantisierung als Eigenwertproblem I-IV. Annalen der Physik 79:361–376, 489–527. Annalen der Physik 80:734–756. Annalen der Physik 81:109–139
Scully MO et al (1991) Quantum optical tests of complementarity. Nature 351:111–116
von Neumann J (1932) Mathematische Grundlagen der Quantenmechanik. Springer, Berlin
Walborn St. P et al (2003) Quantum erasure. Am Sci 91:336–343
Wheeler JA, Zurek WH (1983) Quantum theory and measurement. Princeton University Press, Princeton, NJ
Wigner EP (1939) On Unitary Representations of the Inhomogeneous Lorentz Group. Annals of Mathematics 40:149–204
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Falkenburg, B. (2010). Wave–Particle Duality in Quantum Optics. In: Suárez, M., Dorato, M., Rédei, M. (eds) EPSA Philosophical Issues in the Sciences. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3252-2_4
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