We formulate the q-Coulomb problem in configuration space with the aid of ladder operators for the radial wave function. The highest angular momentum state corresponding to the principal quantum number n is found to be the monomial rn−1 multiplied by a q-exponential. The states of lower angular momentum are q-associated Laguerre polynomials multiplied by the same q-exponential. The state functions all lie in the complex plane and may be interpreted in the standard way. The energy levels are again given by a Balmer formula with n replaced by the basic n.
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Cadavid et al. (1996) studied this question.
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