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要旨:
The energy eigenfunctions of a confined hydrogen atom have a simple coalescence property near the centre, and an inflexion property at the boundary and nodal points. Using these properties, simple wavefunctions are developed for the lowest energy state and first excited state with a given l, and also for the ground state perturbed by a multipolar potential. The predictions for the energies and multipolar polarizabilities are in close agreement with the numerically obtained accurate values.
