Existence of representative longitudinal optical (LO) phonon modes is
theoretically discussed for the case of polar semiconductor cylindrical quantum
dots embedded in a semiconductor matrix. The approach is developed within the
dielectric continuum model considering the Fr\"ohlich interaction between
electrons and the confined LO phonons. The theory is applied to cylindrical
GaAs/AlAs quantum dots within an adiabatic treatment.Comment: 8 pages, 1 figur