| Abstract: | The Lee, Low and Pines' variational method is employed to study the interaction of electronconfined phonons within a rectangular quantum wire under an additional parabolic potential. Detailed mathematical derivation is carried out to obtain some formulire for the polaron selfenergy, the electron effective mass along the wire and the ground state energy; Using the idea of Fourier decomposition of wavefunctions, numerical calculations are performed for a typical GaAs quantum wire within the mesoscopic size. Our present results show that the effect of phonon confinement always reduces the magnitude of the electron-phonon interaction and the associated physical quwtities whereas the additional parabolic potential tends to enhance, both the electron-phonon interaction and the ground state energy. Comparing with previous calculations, our results also reveal the trends of those interesting physical quantities. |
