SPECTRUM OF TWO SPATIALLY SEPARATED PARTICLES IN COAXIAL NANORINGS.

Exact solution for two spatially separated particles in two coaxial one-dimensional nanorings has been obtained by using trigonometric sweep method. The structure of the energy spectrum of two electrons and electron-hole pair in nanoring with different sizes has been calculated. The comparative analysis of the quantum size effect on the energy levels in the case of the electron-hole attraction and the electron-electron repulsion is presented. As the radii of coaxial rings merge our results coincide with those obtained previously for one-dimensional nanoring. [ABSTRACT FROM AUTHOR]