Infrared transitions between hydrogenic states in cylindrical GaAs quantum-well wires under applied magnetic fields

Using the effective-mass approximation within the variational approach, we have calculated the binding and the allowed transition energies between the 1s-, 2s-, 2p(+/-)-, 2p(z)-, 3s-, 3p(+/-)-, and 3p(z)-like states of a hydr ogenic on-center donor impurity in a cylindrical GaAs quantum-well wire, un der the action of a magnetic held applied in the axial direction. Our resul ts are obtained for several wire radii and as a function of the applied mag netic field. We have found that some excited states are not bounded for som e values of the radius of the wire and of the applied magnetic field, and t hat the geometric confinement and the applied magnetic field split the dege neracy of some excited states. [S0163-1829(99)06503-0].