الفهرس 
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Abstract
We analyze the effect of longitudinal optical phonons on the energy states of electrons in a nanowire in the presence of Rashba interaction and an in-plane magnetic field. Due to the electron-phonon interaction, an energy splitting appears at zero wave vector accompanied by a downward shift of the dispersion relation in the absence of external magnetic fields. The splitting increases linearly with the product of the Rashba parameter and the dimensionless constant characterizing the Fr¨ohlich Hamiltonian. It also grows linearly for the ground state as the strength of the lateral quantum confinement increases. For higher states, the energy splitting increases more rapidly till the state of resonant polaron is reached, then it increases slowly due to the pinning effect.Then, we calculate the optical absorption coefficient for electrons in a nanowire in the presence of the Rashba and the longitudinal-optical LO phonon interactions. The frequency separation between the well-resolved absorption peaks and their number are greatly influenced by the state of the polarons.