Izvestiya of Saratov University.
ISSN 1817-3020 (Print)
ISSN 2542-193X (Online)

эллиптические краевые задачи

On Solving the Low-Dimensional Boundary Value Problems of Quantum Mechanics by Kantorovich Method - Reduction to Ordinary Differential Equations

The calculation scheme for solving the elliptic boundary problem by Kantorovich method for impurity states in models of quantum dots, wires and wells in the effective mass approximation with parabolic confinement potential of harmonic oscillator and infinitely-high walls is presented.