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Energy Spectra of the Confined Atoms Obtained by Using B-Splines |
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| Authors: | SHI Ting-Yun BAO Cheng-Guang LI Bai-Wen |
| Affiliation: | 1. Laboratory of Magnetic Resonance and Atomic and MolecularPhysics, Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan 430071, China;2. Department of Physics, Zhongshan University, Guangzhou510275, China;3. CCAST (World Laboratory), P.O. Box 8730, Beijing 100080, China |
| Abstract: | We have calculated the energy spectra ofone- and two-electron atoms (ions) centered in an impenetrable spherical box by variational method with B-splines as basis functions. Accurate results are obtained for both large and small radii of confinement. The critical box radius of confined hydrogen atom is also calculated to show the usefulness of our method. A partial energy degeneracy in confined hydrogen atom is found when the radius of spherical box is equal to the distance at which a node of single-nodewavefunctions of free hydrogen atom is located. |
| Keywords: | energy spectra confined atoms B-splines |
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