The energy states of an electron in a spheroidal quantum dot with finite barrier

Abstract

Abstract The problem of finding an electron wave function and energy spectrum in the prolate spheroidal quantum dot under the finite barrier potential is solved. Furthermore, the electron energy spectrum in the core-shell configuration is investigated. The dependence of the electron energy states on the eccentricity, size of quantum dot, barrier potential, and the shell thickness is studied. The results reveal that the energy of levels with lower m and n values decrease with the increase of eccentricity. This behavior is reversed for higher values of m. Also, for higher n levels, by increasing the eccentricity the energy of levels initially decreases and then increases. It is also observed that the ground and excited states energies increase with increasing the height of barrier potential, and with decreasing the size of the quantum dot. Furthermore, the obtained results for the low eccentricities near zero and for the high barrier potential match with those reported for spherical quantum dot and infinite barrier potential case, respectively. Moreover, in the case of core-shell configuration, the results denote that with increasing the shell thickness, the ground and excited states energies decrease.