We consider the interaction of a confined electron with bulk polar-optical phonons in a cylindrical quantum well wire with infinite boundary potential. Expressions for the polaron self energy and mass are derived within a composite variational scheme consisting of a strong-coupling characterization imposed in the lateral directions and a weak-coupling LLP-counterpart structured along the length of the wire. The formulation is seen to be rather commendable and yields a sensible description of the Q1D-polaron in thin wires of weak or intermediate electron-phonon coupling strengths.
ERÇELEBİ, R. T. SENGER and A. (1998) "Q1D-Polarons in Rigid Boundary Cylindrical Wires: "Mixed-Coupling Approximation"," Turkish Journal of Physics: Vol. 22: No. 2, Article 9. Available at: https://journals.tubitak.gov.tr/physics/vol22/iss2/9