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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. 相似文献
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根据Pekar类型变分法在电子与声子强耦合的条件下计算了抛物量子点中强耦合极化子的基态能量.讨论了电子-声子耦合强度,量子点受限长度对基态能量的影响,同时引进温度参数并讨论了其对基态能量的影响,结果得出在低温的条件下,耦合强度和受限长度对基态的能量影响起主要作用;在高温的条件下,温度对基态的能量影响起主要作用,而耦合强度与受限长度的影响很小. 相似文献
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This paper calculates the time evolution of the quantum mechanical
state of an electron by using variational method of Pekar type on
the condition of electric--LO-phonon strong coupling in a parabolic
quantum dot. It obtains the eigenenergies of the ground state and
the first-excited state, the eigenfunctions of the ground state and
the first-excited state This system in a quantum dot may be employed
as a two-level quantum system qubit. The superposition state
electron density oscillates in the quantum dot with a period when
the electron is in the superposition state of the ground and the
first-excited state. It studies the influence of the electric field
on the eigenenergies of the ground state, the first-excited state
and the period of oscillation at the different electron--LO-phonon
coupling constant and the different confinement length. 相似文献
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This paper reports that the ground-state energy of polaron was obtained with strong electron-LO-phonon coupling by using a variational method of the Pekar type in a parabolic quantum dot. Quantum transition is occurred in the quantum system due to the electron-phonon interaction and the influence of temperature. That is the polaron transit from the ground-state to the first-excited state after absorbing a LO-phonon and it causes the change of the polaron lifetime. Numerical calculations are performed and the results illustrate that the ground-state lifetime of the polaron will increase with increasing the ground-state energy of polaron and decrease with increasing the electron-LO-phonon coupling strength, the confinement length of the quantum dot and the temperature. 相似文献
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