Algebraic description of the quantum defect

Foundations of Physics 23 (6):873-879 (1993)
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Abstract

A simple model for the description of atomic and ionic species with spectra exhibiting a quantum defect is solved using the Lie algebra su(1, 1). The quantum defect of bound states is related to the phase shift of scattering states. The resonances are discussed in terms of the nonunitary representations of this algebra

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