Energy Spectra of an Electron in a Pyramid-shaped Quantum Dot in Effective Mass Approximation with Even Mirror Boundary Conditions

Abstract:- We study the problem of an electron confined in a semiconductor quantum dot shaped as a square-base pyramid, assuming specular reflection of a particle from quantum dot boundaries. The application of boun-dary condition equals the wave function in an arbitrary point inside the dot with its image formed in the walls, allowing to find wave the functions and energy spectra of the particle. The comparison of the resulting energies with published experimental data shows reasonable agreement between the theory and the experiment