By using the strong-perturbation theory, suitable trial wave functions are chosen and the ground-state energy and the binding energy of the ground state of a hydrogenic donor in a quantum wire are calculated in the presence of a uniform magnetic field applied parallel to the wire axis. The quantum wire is assumed to be a cylinder of GaAs having an infinite confining potential. The ground-state energy and the binding energy increase as the strength of the magnetic field increases. Our results agree with those of previous calculations. The calculating method is novel and has general significance.
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