【摘要】 研究抛物量子线中束缚磁极化子的性质,采用线性组合算符和幺正变换方法导出了强、弱耦合两种情况下的基态能量、振动频率和光学声子平均数。结果表明,无论是强耦合还是弱耦合情况,抛物量子线中束缚磁极化子的振动频率λ、基态能量E0和光学声子平均数N都随约束强度ω0的增大而迅速增大。更多还原

【Abstract】 With the development of several experimental techniques,for instance,metalorganic chemical vapour deposition,molecular beam epitaxy and electron beam lithography combined with reverse mesa etching,there has been of considerable interest in understanding of hydrogenic-impurity states in low-dimensional semiconductor heterostructures such as quantum wells,quantum wires and quantum dots.In recent years,there has been great interest in investigating the problem of a bound(magnetopolaron) in a parabolic quantum wires both theoretically and experimentally.And a lot of work has also been devoted to study the properties of the bound(magnetopolaron) in a parabolic quantum wires by kinds of methods.However,by using a linear combination operator and unitary transformation method to study it is seldom.The properties of the bound magnetopolaron in a parabolic quantum wires were studied by using a linear combination operator and unitary transformation method.The ground state energy,the vibration frequency and the mean number of optical phonons of both weak-coupling and strong-coupling bound magnetopolaron in a parabolic quantum wires calculated respectively.The influence of the electron-phonon coupling strength,the cyclotron frequency and the confinemend length of the quantum wires on the ground state energy,the vibration frequency and the mean number of optical phonons of the bound magnetopolaron in a parabolic quantum wires were discussed.More obviously the variational relation of the ground state energy,the vibration frequency and the mean number of optical phonons with the electron-phonon coupling strength,the cyclotron frequency and the confinemend length of the quantum wires were studied.Numerical calculations were performed for GaAs quantum wire,as an example,and the results illustrated that the ground state energy,the vibration frequency and the mean number of optical phonons in a parabolic quantum wires will increase with increasing the confinemend length of the quantum wires and the magnetic field,for both weak-coupling and strong-coupling bound (magnetopolaron) and they will increase with decreasing the Coulomb potential and the electron-phonon coupling strength.更多还原