磁场对量子阱中弱耦合束缚极化子性质的影响

采用线性组合算符及幺正变换方法研究了磁场对量子阱中弱耦合束缚极化子的性质的影响。导出了量子阱中束缚极化子的基态能量与振动频率、库仑束缚势、磁场和阱宽之间的变化关系。同时也讨论了振动频率与库仑束缚势、磁场之间的变化关系。通过数值计算结果表明:量子阱中束缚极化子的基态能量因振动频率、库仑束缚势、磁场和阱宽的不同而不同,它随振动频率和磁场的增加而增大,随库仑束缚势和阱宽的增大而减小。量子阱中束缚磁极化子的基态能量与振动频率无关,随库仑束缚势和阱宽的增大而减小,随磁场的增大而增大。

Magnetic Field Effect on the Property of the Weak-coupling Bound Polaron in Quantum Well

The properties of the weak-coupling bound polaron in quantum well are studied using the linear combination operator and the unitary transformation method. The relations of the ground-state energy of the bound polaron in quantum well with the Coulomb bound potential, the vibration frequency, magnetic field and the well-width are derived. At the same time, the dependency of the vibration frequency on the Coulomb bound potential and magnetic field is discussed. The results of numerical calculation show that the ground-state energy changes with the Coulomb bound potential, magnetic field and the well-width, which will increase with increasing magnetic field and decrease with increasing the Coulomb bound potential and the well-width. The vibration frequency will increase with increasing the Coulomb bound potential and magnetic field.