We have computed the ground and excited state energies and wave functions of a spherical quantum dot with finite potential barrier in the presence of magnetic field. The oscillator strength, the static dipole polarizability and the refractive index changes are investigated as a function of dot radius and magnetic field strength. The results show that the energy state, the oscillator strength, the static dipole polarizability and the refractive index changes are strongly affected by the magnetic field strength and dot size. It is found that while the magnetic field strength increases, the static polarizability decreases strongly.

Kew words: Spherical quantum dot, oscillator strength, static polarizability, magnetic field effect

我们已经计算了在存在磁场的情况下具有有限势垒的球形量子点的基态和激发态能以及波函数。研究了振荡器强度，静态偶极极化率和折射率变化随点半径和磁场强度的变化。结果表明，能量状态，振荡器强度，静态偶极极化率和折射率变化受磁场强度和点尺寸的强烈影响。发现当磁场强度增加时，静态极化率大大降低。

简述：球形量子点，振荡器强度，静态极化率，磁场效应