Квантові переходи в одній точно розв'язуваній моделі адіабатичного розширення квантової точки

Abstract

The instantaneous expansion of a two-dimensional quantum dot with impermeable walls has been investigated. The non-stationary Schrödinger equation is solved by the expansion of the wave function on the basis, which was chosen as the system of stationary wave equation eigenfunctions correspondent to the rectangular geometry of quantum dot. Exact expressions for the amplitudes of quantum transitions have been obtained in its explicit form and the main properties of these amplitudes have been determined. These results allow predictably manipulating by states of a quantum dot with applying instantaneous expansion