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arXiv · 1104.3377

Conjugate Spinor Solution of the Dirac Equation for the Hydrogen Atom

Robert J. Ducharme
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Abstract

It is shown the central field Dirac equation can be simplified through the use of real conjugate spinors to substitute for the upper and lower components of the bi-spinor eigensolutions. This substitution reduces the Dirac equation for the hydrogen atom to the problem of solving a single second order differential equation similar to a Klein-Gordon equation but containing additional terms to take account of the spin on the electron. The bi-spinor wave functions are readily constructed once the solution is known in terms of the conjugate spinors.

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Robert J. Ducharme. 2011-04-18. Conjugate Spinor Solution of the Dirac Equation for the Hydrogen Atom. https://arxiv.org/abs/1104.3377

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