Schrdinger方程的一般解与超晶格多量子阱的电子跃迁

假设超晶格量子阱是一个形状任意的周期势阱,电子在超晶格中的运动问题可视为周期场中的运动问题.在量子力学的框架内,从Schr dinger方程和它的一般解出发,利用Bloch理论和传输矩阵方法导出了系统的色散方程;在抛物线近似下,讨论了超晶格量子阱的电子跃迁.结果表明,辐射能量位于红外、远红外或太赫兹波段.

General solution of Schrödinger equation and electron transition in superlattice multi-quantum well

Supposing that the quantum well of a superlattice is a periodic potential well of an arbitrary shape, the motion problem of electrons in the superlattice can be reduced into the motion in a periodic field. From the Schrödinger equation and its general solution, the dispersion equation of the system can be derived using Bloch theory and the transfer matrix method in the framework of quantum mechanics; and the electronic transitions of the multi-quantum well for the superlattice can be discussed in parabolic approximation. Results show that the radiation energy is located at the infrared, far infrared or terahertz band.