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运用变分法研究了柱形量子线中强耦合极化子的性质,计算了极化子的基态能量、第一激发态能量、结合能以及由第一激发态到基态的跃迁频率。计算表明,柱形量子线中强耦合极化子的基态能量,第一激发态能量均随着柱形量子线的半径及电子-声子耦合强度的增大而减小。同时结合能,跃迁频率随着柱形量子线的半径减小而增大,随电子-声子耦合强度的增大而增大。
The properties of the strong coupling polaron in a cylindrical quantum wire are studied by using the variational method. The ground state energy, the energy of the first excited state, the binding energy and the transition frequency from the first excited state to the ground state are calculated. Calculations show that the ground state energy and the first excited state energy of the strong coupling polaron in the columnar quantum wire all decrease with the increase of the radius of the cylindrical quantum wire and the coupling strength of the electron-phonon. At the same time, the transition frequency increases with the decrease of the radius of the cylindrical quantum wire and increases with the increase of the electron-phonon coupling strength.