Abstract
THE energy levels of an atomic system are found in wave mechanics by selecting the characteristic solutions of a Schrödinger differential equation, and the conditions defining these solutions are usually stated as an arbitrary mathematical postulate chosen so as to secure agreement with experiment.1 This additional postulate seems to be unnecessary, however; the conditions follow naturally as a consequence of the physical foundations of the theory.
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References
Cf. Joffé, Zeit. f. Physik, 66, 770; 1930; Langer and Rosen, Phys. Rev., 37, 658; 1930.
Cf., for example, Phys. Rev., 31, 876; 1928.
Darwin, Roy. Soc. proc., 118, 673; 1928.
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KENNARD, E. The Conditions on Schrödinger'sψ. Nature 127, 892–893 (1931). https://doi.org/10.1038/127892c0
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DOI: https://doi.org/10.1038/127892c0
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