Abstract
IT can be shown with the help of Dirac's relativity equation that the neutron can be properly placed in the scheme of the wave-mechanical theory. Dirac's Hamiltonian for a hydrogen-like atom in polar coordinates is in which and 3 are to be taken as the matrices respectively, leading to the equations where the wave-functions are and is small1. f and g must be finite series, if a is real, or H<mc2. The radius of the smallest orbit will be the smallest value of r that makes () a maximum, since Dirac's wave-function is r times the Schrödinger function.2
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References
"Principles of Quantum Mechanics”, § 78, p. 253.
ibid., § 45, p. 143.
See, for example, Born and Jordan, “Elementare Quanten Mechanik”, § 27, p. 142.
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SEN, B. The Neutron in Quantum Mechanics. Nature 132, 518 (1933). https://doi.org/10.1038/132518a0
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DOI: https://doi.org/10.1038/132518a0
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