A spherical semiconductor nanoheterostructure of cubic symmetry is studied in the paper. Accurate solutions of the Schrodinger equation for S1/2, P1/2, P3/2, D5/2, and D7/2 states of particles are found in the framework of the Luttinger-Baldereschi-Lipari Hamiltonian and the finite value of the band disruption on the boundaries of the media is ascertained. Specific calculations of the quantum dot radius dependence of the hole state energy were performed for the GaSb/AlSb heterostructure. The obtained results were compared to the data obtained using the infinite potential well model as well as the model of simple bands for heavy and light holes. The electron energies and electron wavefunctions were found within the isotropic effective mass model taking into account a discontinuity of the conduction bandgap at the heterostructure boundary. Probabilities of GaSb/AlSb heterosystem interband transitions were analyzed using the obtained formulae.

• Бойчук Василь Іванович (1953–2018) (фізико-математичні науки)
• Білинський Ігор Васильович (1964–) (фізико-математичні науки)
• Шаклеіна Ірина Олександрівна (фізико-математичні науки)

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