Discrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational Science2658-46702658-7149Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)8740Quantum Well Models for Low-Dimensional Structures as Anharmonic Oscillators with Two and Three MinimaBelyaevaI NКафедра математического анализа; Белгородский государственный университет; Belgorod State UniversityIbelyaeva@bsu.edu.ruChekanovN AКафедра физики; Старооскольский технологический институтНационального исследовательского технологического университета МИСиС; Stary Oskol Technological Instituteof the Moscow Institute of Steel and Alloyschekanov@bsu.edu.ruBelgorod State UniversityStary Oskol Technological Instituteof the Moscow Institute of Steel and Alloys150220112718208092016Copyright © 2011,2011By symbolic-numeric power series method the one-dimensional Shr̈odinger's equation with double- and triple-well potentials is solved. The energy spectra and wave function depending on the potential parameters are calculated. It is shown that magnitude of energy splitting is very sensitive to the form of the potential function.nanostructuresquantum wellsShr̈odinger's equationanharmonic oscillatorspower serieswave functionsenergy spectraavoided crossingsнаноструктурыквантовые ямыуравнение Шрёдингераангармонические осцилляторыразмерное квантованиестепенные рядыволновые функцииэнергетический спектризбегнутые пересечения