POLARONS IN A CYLINDRICAL QUANTUM-WIRE WITH FINITE-BARRIER WELL

The eigenfunctions and eigenenergies of an electron in a finite-barrie r cylindrical quantum wire are obtained. The case of different electro n band masses in the cylinder and the barrier material is discussed. T he polaron binding energy and the polaron effective mass due to the in teraction of an electron with two cylindrical-interface optical modes as well as with cylindrical bulk-in and cylindrical bulk-out confined LO-phonon modes are calculated, and their dependence on the radius of the cylinder is studied in detail. The comparison with the results for a 2D polaron is performed.