Zuo Zheng-Wei, Xie Hong-Jing
School of Physics and Electronic Engineering, Guangzhou University, Guangzhou 510006, People's Republic of China.
J Phys Condens Matter. 2009 Oct 7;21(40):405406. doi: 10.1088/0953-8984/21/40/405406. Epub 2009 Sep 14.
The optical phonon modes and electron optical phonon interaction of the equilateral triangular quantum dot and quantum wire in vacuum are studied with the dielectric continuum model. The analytical expressions for the longitudinal optical phonon eigenfunctions are deduced. After having quantized the eigenmodes, we derive the Hamiltonian operators describing the longitudinal optical phonon modes and their interactions with electrons. The potential applications of these results are also discussed.