Understanding Heisenberg’s “magical” paper of July 1925: A new look at the calculational details

@article{Aitchison2004UnderstandingH,
  title={Understanding Heisenberg’s “magical” paper of July 1925: A new look at the calculational details},
  author={I. Aitchison and D. A. Macmanus and Thomas M. Snyder},
  journal={American Journal of Physics},
  year={2004},
  volume={72},
  pages={1370-1379}
}
In July 1925 Heisenberg published a paper that ushered in the new era of quantum mechanics. This epoch-making paper is generally regarded as being difficult to follow, partly because Heisenberg provided few clues as to how he arrived at his results. We give details of the calculations of the type that Heisenberg might have performed. As an example we consider one of the anharmonic oscillator problems considered by Heisenberg, and use our reconstruction of his approach to solve it up to second… Expand
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