Condensed Matter Physics, 2008, vol. 11, No. 3(55), p. 463472
DOI:10.5488/CMP.11.3.463
Title:
Evolution of quasistationary electron spectrum in open spherical quantum dot
Author(s):

M.V. Tkach
(Fedkovych Chernivtsi National University, 2, Kotsyubinskoho St., Chernivtsi, 58012, Ukraine)
,


Ju.O. Seti
(Fedkovych Chernivtsi National University, 2, Kotsyubinskoho St., Chernivtsi, 58012, Ukraine)
,


O.M. Voitsekhivska
(Fedkovych Chernivtsi National University, 2, Kotsyubinskoho St., Chernivtsi, 58012, Ukraine)

The evolution of electron quasistationary spectrum in open spherical quantum dot is under study within the effective mass and rectangular potential model. Within the framework of the Smatrix model the exact solution of Schrödinger equation is obtained in general analytical form. It is shown, for the first time, that the generalized resonance energies and widths introduced as the parameters defining the probability distribution function (over the energy or quasi momentum) of electron location in quantum dot, adequately characterize the evolution of its quasistationary states (contrary to the Smatrix poles) in the whole range of barrier thickness: from zero (free states) up to the infinity (stationary bound states are under the barrier and virtual and free states are above it).
Key words:
spherical quantum dot, quasistationary state
PACS:
71.15.Dx, 73.21.La, 73.22.f, 73.90.+f
