Abstract
Teaching quantum theory is a legendary difficult task, not only due to its weirdness, but also because it is philosophically sensitive. Examples from the history and philosophy of science show that one of the main challenges is to find a balanced approach between introducing the most basic quantum concepts while taking into account interpretational issues. Although there is no privileged interpretation for QT, teaching and research about QT must make the interpretational choice used explicit. In addition any introductory course should emphasize the strictly quantum features in order to prevent students from establishing undesirable links with classical concepts. While teaching focused on the mathematical formalism remains a choice, pictures may be exploited, but in this case complementarity should be explicitly and carefully introduced. Finally, we argue that the teaching of QT, maybe more than other areas in physics, must be informed by the history and philosophy of science.
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Notes
- 1.
Physicists interchangeably use quantum theory, quantum physics, quantum mechanics, or wave mechanics to describe the same physical theory. While using sometimes quantum physics, we will privilege quantum theory as it emphasizes its role as a scientific theory given that theories are central to the culture of physics.
- 2.
Short introductions to most of these interpretations may be obtained in Greenberger et al. (2009). This compendium includes the following interpretations: Bohm interpretation, Bohmian mechanics, complementarity principle, consistent histories, Copenhagen interpretation, GRW theory, hidden variables models of quantum mechanics, Ithaca interpretation, many worlds interpretation, modal interpretations, Orthodox interpretation, probabilistic interpretation, and transactional interpretation. While there is some redundancy in this list, it is not comprehensive; one could still include, for instance, stochastic interpretation, ensemble interpretation, and Montevideo interpretation. Indeed, this list has been growing in recent decades.
- 3.
- 4.
We chose to present the issue of completeness of QT in terms of Bell’s theorem and its conflict between QT and local hidden variables or local realism. This choice was due to the influence of this approach on mainstream physics leading, through theory and experiments, to the identification of entanglement as a key quantum physical effect (Shimony 2009). Other approaches, however, are possible. A fine epistemological analysis of Einstein’s assumptions would lead us, according to Howard (1985), to identify them as separability (mutually independent existence of spatially distant things) and locality. Another possibility is the Kochen-Specker theorem, formulated in 1967, which contrasts QT with non-contextuality; however, the impact of this theorem in experimental physics has been scant (Held 2012).
- 5.
On the early experiments on Bell’s theorem, see Freire (2006).
- 6.
For brief introductions to these topics, see Greenberger et al. (2009). On the debates on the concept of photon, see Silva and Freire (2013). The Concept of the Photon in Question: The Controversy Surrounding the HBT Effect circa 1956–1958, Historical Studies in the Natural Sciences, forthcoming; on quantum optics, see Bromberg (2006); for historical studies on decoherence, see Camilleri (2009b) and Freitas (2012), The many ways to decoherence, unpublished monograph.
- 7.
For experiments with single electrons in the two-slit interference experiments and debates about their interpretations and dispute of priorities, see Rosa (2012). As an example of the ongoing controversy surrounding the foundations of quantum physics, Marshall and Santos (1987) considered that Aspect’s 1986 typical quantum results could be compatible with the classical wave theory of light as the latter were interpreted in terms of Stochastic Optics.
- 8.
Alain Aspect, interview with O. Freire and I. Silva, 16 December 2010 and 19 January 2011, American Institute of Physics.
- 9.
Incidentally, we remark that Aspect considers wave-particle duality for single photons the best way to introduce, both theoretically and experimentally, the full quantum treatment of light on optics courses. See his proposal in (Jacques et al. 2005).
- 10.
We use image and picture as equivalent words. Psychology of learning uses image as picture may be associated with drawings. Physicists use both without distinction, while in QT, both are always associated to concepts from classical physics.
- 11.
The empirical equivalence of several QT interpretations in the nonrelativistic domain does not mean that all interpretations have been equally fruitful in the development of QT, in particular in the new field of quantum information. An interesting discussion on this aspect considering the case of “entanglement swapping” is Ferrero et al. (2012).
- 12.
- 13.
In several countries, the most widely used textbooks in physics are American ones thus the spread of this approach.
- 14.
- 15.
We have researched articles from the period 2000–2011 that tackle physics education in any level in the following journals: American Journal of Physics, European Journal of Physics, International Journal of Science Education, Journal of Research in Science Teaching, Physical Review Letters – Special Topics, Research in Science Education, Science Education, and Science & Education.
- 16.
- 17.
- 18.
- 19.
We have named the interpretations as stated by the authors, without evaluating superpositions or duplications.
- 20.
The categorization we have used is a rough approximation, useful only to grasp analogies between physics teaching research and physics research. Realism and objectivity are not univocally defined in philosophy of science, and quantum physics practice has brought meaningful constraints to the use of these terms.
- 21.
Recent studies, however, have shown both the diversity of perspectives behind the term “Copenhagen interpretation” and the context of its coinage, for example, Camilleri (2009a) and Howard (2004). See also Beller (1999) for the nuances among the founding fathers of QT which are usually smoothed over in the term Copenhagen interpretation.
- 22.
Exposing students to an open scientific controversy may bring some discomfort to physics teachers as this may weaken the dogmatic feature some think it is inseparable to science training. The question reminds us of an old dilemma well posed by Stephen Brush (1974, p. 1170): “Should the History of Science Be Rated X?” In this now classic paper, Brush suggests to science teachers this dilemma in the following terms: “I suggest that the teacher who wants to indoctrinate his students in the traditional role of the scientist as a neutral fact finder should not use historical materials of the kind now being prepared by historians of science: they will not serve his purposes.” Then, he continues, “on the other hand, those teachers who want to counteract the dogmatism of the textbooks and convey some understanding of science as an activity that cannot be divorced from metaphysical or esthetic considerations may find some stimulation in the new history of science.” No doubt about the mind and heart choice of this talented scientist and historian of science awarded in 2009 with the Abraham Pais Prize for the History of Physics. There is a growing literature on the history of this controversy. In addition to the works already cited, the interested reader may consult Bromberg (2008), Jacobsen (2012), Kaiser (2011), and Yeang (2011). We also highlight the English translation of most of the original papers in the history of this debate in Wheeler and Zurek (1983).
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Acknowledgments
We are thankful to CAPES, CNPq, FAPESB, and Universidade Estadual da Paraiba, Brazil, for the support to this research. We are grateful to the editor, Michael Matthews, and the reviewers for their critical comments; to David Kaiser, for reading and commenting the paper; and to Denise Key for her help with the English.
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Greca, I.M., Freire, O. (2014). Meeting the Challenge: Quantum Physics in Introductory Physics Courses. In: Matthews, M. (eds) International Handbook of Research in History, Philosophy and Science Teaching. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-7654-8_7
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