A Helium Atom Confined by a Spherical Gaussian Potential Well |
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Authors: | XIE Wen-Fang |
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Institution: | Department of Physics, Guangzhou University, Guangzhou 510006, China |
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Abstract: | The helium atom confined by a non-impenetrable spherical box, i.e.,
a spherical Gaussian potential well which possesses finite height and range,
is studied employing the exact diagonalization method. Total energies of the ground and three low-excited states are obtained as a function of the
confined potential radii. We find that the confinement may cause accidental
degeneracies between levels with different low-excited states and the
inversion of the energy values. The results for the three-dimensional
spherical potential well and the two-dimensional disc-like potential well
are compared with each other: in general, the energies of the states
decrease and the energy intervals between states increase with the reduction of the space dimensions. |
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Keywords: | helium atom energy spectrum |
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