Vm. Villalba et R. Pino, ANALYTIC SOLUTION OF A RELATIVISTIC 2-DIMENSIONAL HYDROGEN-LIKE ATOM IN A CONSTANT MAGNETIC-FIELD, Physics letters. A, 238(1), 1998, pp. 49-53
We obtain exact solutions of the Klein-Gordon and Pauli-Schrodinger eq
uations for a two-dimensional hydrogen-like atom in the presence of a
constant magnetic field. Analytic solutions for the energy spectrum ar
e obtained for particular values of the magnetic field strength. The r
esults are compared to those obtained in the non-relativistic and spin
less case. We obtain that the relativistic spectrum does not present s
states. (C) 1998 Published by Elsevier Science B.V.