Abstract
The ground-state energy and the average number of virtual phonons around the electron in a parabolic quantum dot for the entire range of the electron—phonon coupling constant are obtained using the single-mode squeezed-state variational approach. The variational approach we applied is based on two successive canonical transformations and using a displaced-oscillator type unitary transformation to deal with the bilinear terms which are usually neglected. In order to study the relationship between the ground-state energy and the average number of virtual phonons around the electron of a polaron in a parabolic quantum dot with the electron—LO-phonon coupling constant and the confinement length, numerical calculations are carried out in the electron—LO-phonon strong- and weak-coupling regions.
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