Abstract
In the present work, we consider an electron which is strongly coupled to the LO-phonon in circular, elliptical, and triangular quantum dots with Coulomb impurity. The eigenenergies and eigenfunctions of the ground and the first-excited states of the electron are obtained under magnetic and electric fields by using the Pekar variational method. We have also obtained the Shannon entropy and the electron probability density. This system can be applied as a two-level qubit. The entropy shows the oscillatory periodic evolution as function of the time due to the form of the confinement. It is seen that entropy has an arrangement periodic behavior for the higher symmetry (circular quantum dot).
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