We derive in simple analytic closed form the eigenfunctions and eigenenergies for the hydrogen atom in N dimensions. A section is devoted to the specialization to one dimension. Comments are made on the relation to the harmonic oscillator, the ground-state energy per degree of freedom, the raising and lowering operators, and the radial momentum operators. By particular changes of variables, the relativistic pi-mesic atom is solved in the same functional form.
No takes yet. Share an insight, caveat, or question.
Michael Martin Nieto (1979) studied this question.