On the hyperfine splitting of the hydrogen atom in a spherical box
D. SuryanarayanaDepartment of Chemistry and Chemical Engineering, University of Saskatchewan, Saskatoon, Canada S7N 0W0John A. WeilDepartment of Chemistry and Chemical Engineering, University of Saskatchewan, Saskatoon, Canada S7N 0W0
1976en
ABI
Abstract
The hyperfine splitting of the hydrogenlike atom confined to a sphere of radius r0 is examined as a function of r0. The wavefunction is made to vanish at r=r0 and is normalized to unity over the finite sphere. The effect of decreasing r0 (i.e., compressing the sphere isotropically) on the hyperfine splitting A of the ground state is nonlinear, with A increasing approximately as r−10. Comparison with atomic hydrogen trapped in α-quartz is made.
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