The equation for energy eigenvalues in MQW structures with particles having different effective masses in different layers

摘要

In paper [1], we solved the problem on the motion of a quantum particle in a layered multiple quantum well (MQW) structure with an arbitrary number and location of layers and with an arbitrary potential-energy depth both in the barrier layers and in the layers corresponding to quantum (potential) wells. We derived an analytical equation for determination of energy eigenvalues of quantum particles, in particular, holes and electrons, and found the probability distribution for quantum particles in an arbitrary layered structure with an arbitrary number of quantum wells and barrier layers. However, we disregarded the fact that the particle has different effective masses in different layers.