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We present a theoretical study of the energy spectrum of single electron and hole states in
quantum dots of annular geometry under a high magnetic field along the ring axis in the frame of
uncorrelated electron-hole theory. We predict the periodic disappearance of the optical emission of
the electron-hole pair as the magnetic field increases, as a consequence of the finite height of
the barriers. The model has been applied to semiconductor rings of various internal and external
radii, giving as limiting cases the disk and antidot
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