Effect of confined LO-phonons interactions on polarons in quantum well wires

Summary  The energy of an electron interacting with the confined longitudinaloptical (LO) phonons in a rectangular quantum well wire is calculated as a function of the length of one size of the wires by a modified Lee-Low-Pines variational method. It is shown that in a very small wire the electron self-energy has a peak. But for larger wires, the self-energies increase monotonically. It is also found that the energies of the quasi-one-dimensional polaron are related to the sizes of the crosssection rather than to the cross-sectional area of the wire. The authors of this paper have agreed to not receive the proofs for correction.