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The absence of the inversion symmetry in the z-potential does not produced fundamental changes in the obtained results. In this case, if the Coulomb interaction is not considered, there are also electron-hole wave functions formed by different states of independent particles (of course these states will not have definite parity) and subbands associated to each, h pairs with different quantum numbers in z. The exciton energies as a function of the magnitude of an in-plane magnetic field will show anticrossings between subbands levels due to the electron-hole coupling
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