Exact Solution for a Chain of Coupled Oscillators with Two Types of Atom
LIU Ke-Jia1,3, LU Huai-Xin2,3, ZHANG Yong-De3
1Department of Metallurgy, Guizhou University of Technology, Guiyang 550003
2Department of Physics, Changwei Teachers College, Weifang 261043
3Department of Modern Physics, University of Science and Technology of China, Hefei 230026
Exact Solution for a Chain of Coupled Oscillators with Two Types of Atom
LIU Ke-Jia1,3;LU Huai-Xin2,3;ZHANG Yong-De3
1Department of Metallurgy, Guizhou University of Technology, Guiyang 550003
2Department of Physics, Changwei Teachers College, Weifang 261043
3Department of Modern Physics, University of Science and Technology of China, Hefei 230026
Abstract： A quantum transformation that can diagonalize the Hamiltonian of a ring of N coupled diatomic oscillators is found. By means of the transformation, the dispersion relation of the atomic system is obtained. For large N it turns out that the dispersion relation resembles to the phonon spectrum of the lattice vibration derived by Newton's equation of motion.
LIU Ke-Jia;LU Huai-Xin;ZHANG Yong-De. Exact Solution for a Chain of Coupled Oscillators with Two Types of Atom[J]. 中国物理快报, 2000, 17(4): 241-242.
LIU Ke-Jia, LU Huai-Xin, ZHANG Yong-De. Exact Solution for a Chain of Coupled Oscillators with Two Types of Atom. Chin. Phys. Lett., 2000, 17(4): 241-242.
2000, Vol. 17 
