Relativistic Ground State of Hydrogen-Like Atoms

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This Demonstration computes the probability of the upper (red) and lower (gold) components of the ground state of a relativistic hydrogen-like atom of charge as a function of
, up to
, in accordance with the Dirac equation. This is compared to the probability in the standard nonrelativistic theory. The Dirac equation develops a singularity when
.
Contributed by: Niels Walet (March 2011)
Open content licensed under CC BY-NC-SA
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Details
See J. J. Sakurai, Advanced Quantum Mechanics, New York: Addison Wesley, 1967.
Permanent Citation
"Relativistic Ground State of Hydrogen-Like Atoms"
http://demonstrations.wolfram.com/RelativisticGroundStateOfHydrogenLikeAtoms/
Wolfram Demonstrations Project
Published: March 7 2011