I am trying to solve two problems in quantum mechanics.  Please
provide full solution/explanation for each problem.

1.  Consider three lowest energy levels of an electron confined to a
rigid  spherical box of 0.5A(anstrom) radius.  Determine all allowed
transitions between states of the three levels and wavelengths of the
transitions.

2.  Adopt a model of an atom in the form of a rigid cubic box with
spinless electrons subject to exclusion principle.
Develop an analogue of the "triangular" form of the periodic table for
atomic numbers one through ten.  For each position in the table (i.e.
for each "element") specify the electron wavefunction in terms of
their (cubical) quantum numbers.

Thanks!

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Clarification of Question by wangjas-ga on 26 Jan 2005 23:15 PST

I need this solved before Jan 28 (Friday).