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  1. Electron Wave Trajectories Within Schrodinger’s Hydrogen Atom, and Relativistic Consequences.Leslie Smith - 2023 - Foundations of Physics 53 (5):1-14.
    Quantum mechanics teaches that before detection, knowledge of particle position is, at best, probabilistic, and classical trajectories are seen as a feature of the macroscopic world. These comments refer to detected particles, but we are still free to consider the motions generated by the wave equation. Within hydrogen, the Schrodinger equation allows calculation of kinetic energy at any location, and if this is identified as the energy of the wave, then radial momentum, allowing for spherical harmonics, becomes available. The distance (...)
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  • Historical magic in old quantum theory?Peter Vickers - 2012 - European Journal for Philosophy of Science 2 (1):1-19.
    Two successes of old quantum theory are particularly notable: Bohr’s prediction of the spectral lines of ionised helium, and Sommerfeld’s prediction of the fine-structure of the hydrogen spectral lines. Many scientific realists would like to be able to explain these successes in terms of the truth or approximate truth of the assumptions which fuelled the relevant derivations. In this paper I argue that this will be difficult for the ionised helium success, and is almost certainly impossible for the fine-structure success. (...)
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  • Disarming the Ultimate Historical Challenge to Scientific Realism.Peter Vickers - 2020 - British Journal for the Philosophy of Science 71 (3):987-1012.
    Probably the most dramatic historical challenge to scientific realism concerns Arnold Sommerfeld’s derivation of the fine structure energy levels of hydrogen. Not only were his predictions good, he derived exactly the same formula that would later drop out of Dirac’s 1928 treatment. And yet the most central elements of Sommerfeld’s theory were not even approximately true: his derivation leans heavily on a classical approach to elliptical orbits, including the necessary adjustments to these orbits demanded by relativity. Even physicists call Sommerfeld’s (...)
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  • Quo Vadis Selective Scientific Realism?Peter Vickers - 2018 - Spontaneous Generations 9 (1):118-121.
    My current opinion is that the selective realist is in a strong position vis-à-vis the historical challenges. Certainly the realist needs to invoke some careful criteria for realist commitment, and various nuances concerning the nature of her epistemic commitment, and this may raise the ‘death by a thousand qualifications’ question mark. But the concern is unfounded: the qualifications are all independently motivated, and indeed necessary given the philosophical complexity. Qualifications are to be welcomed here; often the truth is far from (...)
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  • The trouble with orbits: The Stark effect in the old and the new quantum theory.Anthony Duncan & Michel Janssen - 2014 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 48 (1):68-83.
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