Abstract
The expression of the ground-state energy of anelectron coupled simultaneously with a Coulomb potential and alongitudinal-optical phonon field in parabolic quantum dots and wires isderived within the framework of Feynman variational path-integral theory. Weobtain a general result with arbitrary electron-phonon coupling constant,Coulomb binding parameters, and confining potential strength, which couldbe used for further numerical calculation of polaron properties. Moreover,it is shown that all the previous path-integral formulae for free polarons,bound polarons, and polarons confined in parabolic quantum dots and wires can be recovered in the present formalism.
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