The energy levels of a two-electron two-dimensional parabolic quantum dot

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This paper studies the two-electron total energy and the energy of the electron-electron interaction by using a variational method of Pekar type on the condition of electric-LO-phonon strong coupling in a parabolic quantum dot.It considers the following three cases:1) two electrons are in the ground state;2) one electron is in the ground state,the other is in the first-excited state;3) two electrons are in the first-excited state.The relations of the two-electron total energy and the energy of the electron-electron interaction on the Coulomb binding parameter,the electron-LO-phonon coupling constant and the confinement length of the quantum dot are derived in the three cases. This paper studies the two-electron total energy and the energy of the electron-electron interaction by using a variational method of Pekar type on the condition of electric-LO-phonon strong coupling in a parabolic quantum dot. It considers the following three cases: 1) two electrons are in the ground state; 2) one electron is in the ground state, the other is in the first-excited state; 3) two electrons are in the first-excited state. The relations of the two-electron total energy and the energy of the electron-electron interaction on the Coulomb binding parameter, the electron-LO-phonon coupling constant and the confinement length of the quantum dot are derived in the three cases.
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