Ercelebi, A.Senger, R. T.2016-02-082016-02-0819940953-8984http://hdl.handle.net/11693/26004The ground-state characterization of the polaron problem is retrieved within the framework of a variational scheme proposed previously by Devreese et al for the bound polaron. The formulation is based on the standard canonical transformation of the strong coupling ansatz and consists of a variationally determined perturbative extension serving for the theory to interpolate in the overall range of the coupling constant. Specializing our considerations to the bulk and strict two-dimensional polaron models we see that the theory yields significantly improved energy upper bounds in the strong coupling regime and, moreover, extrapolates itself successfully towards the well-established weak coupling limits for all polaron quantities of general interest.EnglishBound polaronElectron phonon couplingExtrapolationThree dimensional polaronsTwo dimensional polaronsElectron energy levelsElectronsInterpolationMathematical modelsPerturbation techniquesPhononsThree dimensionalVariational techniquesElementary particlesEnergy and mass of 3D and 2D polarons in the overall range of the electron-phonon coupling strengthArticle10.1088/0953-8984/6/28/019